we were designed heterogonous Fe3O4-Au nanocomposite with average size of 27 nm that synthesized by Foeniculum vulgare seeds extract to photodegrade methyl orange, imipenem and imatinib dye/drugs under UV-visible light irradiation. Physicochemical properties of biogenic nanocomposite were characterized by XRD, FTIR, UV-Vis, SEM, EDX and X-ray elemental mapping. The complete degradations of methyl orange, imipenem and imatinib are about 95% after 2100 s, 91% after 1200 s and 93% after 1500 s, respectively under UV light irradiation, whereas under visible light irradiation are about 87% after 4200s and 88% after 4800s for imipenem and imatinib, respectively. In addition, antimicrobial activity was screened by biogenic Fe3O4-Au nanocomposite vs. Estaphilu and Bacillus subtilis and E. coli. Remarkable zone of inhibition was observed for Bacillus subtilis in 25mg/mL concentration of nanocomposites. Photocatalysts that have antimicrobial properties in addition to their unique photocatalytic properties have the potential of being no longer polluting the environment.

One standout observation regarding the clinical epidemiology in the current COVID-19 pandemic is the relatively low incidence and generally mild presentation of the infections in children (Ludvigsson, 2020)⁠. Indeed, only 230 pediatric cases with 3 neonates have been reported in China through February 6 2020 (Lu & Shi, 2020)⁠ with a total of only 9 infected and hospitalized cases identified between December 8 2019 and February 6 2020 out of a total of 31,211 cases of COVID-19 reported (Wei et al., 2020). Moreover the course in infants and children was mild with infection rarely progressing to lower respiratory tract infections (Hong et al., 2020), and no deaths have been reported in this age group (Lu & Shi, 2020)⁠.Since SARS-CoV-2 is highly contagious, it is anomalous that the infection rate is so low in infants and children given the high risk of inevitable close contact they have with adults. So far, several theories to explain this anomaly include lack of nicotine exposure in children, and reduced expression of ACE2 cell surface receptors needed by SARS-CoV-2 to gain entry to host at younger ages (Song et al., 2012).Here we postulate another possibility for lower incidence and milder disease is high lactoferrin content in breast or some infant formula feedings.Lactoferrin (Lf), which is highly concentrated in human milk as well as often added to modern infant formulas has demonstrable broad-range antiviral properties (Wakabayashi et al., 2014) including against SARS-CoV, which uses the same ACE2 surface receptor to invade hosts as SARS-CoV2 (Lang et al., 2011), thus, it is not inconceivable that nutritional lactoferrin in breast milk or infant formula contributed to reduced incidence as well as milder course of COVID-19 in infants and young children. This intriguing possibility can be assessed by carefully noting the feeding history of pediatric COVID-19 cases.Author list:

Background: This case highlights challenges in the assessment and management of the “difficult airway” patient in the SARS-CoV-2 (COVID-19) pandemic era. Methods: A 60-year-old male with history of recent TORS resection, free flap reconstruction and tracheostomy for p16+ squamous cell carcinoma presented with stridor and dyspnea one month after decannulation. Careful planning by a multidisciplinary team allowed for appropriate staffing and personal protective equipment, preparations for emergency airway management, evaluation via nasopharyngolaryngoscopy, and COVID testing. The patient was found to be COVID negative and underwent imaging which revealed new pulmonary nodules and a tracheal lesion. Results: The patient was safely transorally intubated in the operating room. The tracheal lesion was removed endoscopically and tracheostomy was avoided. Conclusions: This case highlights the importance of careful and collaborative decision making for the management of head and neck cancer and other “difficult airway” patients during the COVID-19 epidemic.

The half-metallicity of Heusler alloy is quite sensitive to high pressure and disorder. Therefore, we systematically studied the half-metallic nature, magnetism and thermomechanical properties of FeCrTe and FeCrSe Heusler alloys under high pressure using ab initio calculations based on density functional theory (DFT). The ground state lattice constants for FeCrTe and FeCrSe alloys are 5.93 and 5.57 Å, consistent with available theoretical results. The formation energy, cohesive energy and elastic constant confirmed the thermodynamically and mechanical stability of both compounds. The FeCrTe and FeCrSe alloys showed half-metallic character with the band gap of 0.68 and 0.58 eV at 0 Gpa pressure respectively and magnetic moments of 2.01 µB for both alloys using GGA approximation. The elastic properties have been scrutinized and found that FeCrTe is ductile and FeCrSe is brittle at 0 Gpa pressure. Under pressure, FeCrSe turn into brittle above 10 Gpa pressure. Moreover, the average sound velocity Vm, Debye temperature ƟD and heat capacity CV were predicted under pressure. These outcomes would advantage in integrating Fe-based half-Heusler alloys in spintronic devices.

The fracture of compressor blade’s tenon is a concrete problem in the operation of ironmaking plant. A systematic research on the fracture failure of the tenon of X20Cr13 blade has been carried out in this paper. Systematic research consists of two parts: comprehensive analysis and simulation analysis. Comprehensive analysis includes macroscopic analysis, metallographic structure analysis, SEM characterization, EDS characterization, mechanical property analysis, chemical composition analysis, hardness analysis and assembly structure analysis. The simulation analysis includes heat treatment simulation analysis, static stress software simulation analysis and resonance damage calculation analysis. The comprehensive analysis shows that the performance, chemical composition and hardness of blade are not the cause of failure. The cracks of blade tenon have the obvious fatigue crack characteristics. The fretting wear can produce the failure source which leads to the occurrence and development of cracks. A large number of M23C6 carbides with large particle size appeared in the metallographic structure and distributed unevenly and intensively along the grain boundary. These carbides not only damage the continuity of matrix structure but also create conditions for the initiation and propagation of fatigue cracks. Improper assembly of blades can also lead to excessive local stress. The simulation analysis further confirmed that the stress at the root of blade tenon is too large and the possibility of failure caused by resonance is eliminated. Improper heat treatment is also one of the causes of fracture. Based on the research conclusion, this paper also puts forward some constructive suggestions for this engineering problem.

Analysis of population genetic data often includes the search for genomic re- gions with signs of recent positive selection. One of the approaches involves the concept of Extended Haplotype Homozygosity and its associated statistics. These statistics presume that haplotypes are phased and some of them that variants are polarized. Here we assess the consequences if one of the two con- ditions is not fulfilled. We find that phasing information is indispensable for the accurate estimation of within-population statistics and, if sample sizes are small, for cross-population statistics, too. Ancestry information, in contrast, is of lesser importance for both. We make use of a publicly available update of our R package rehh which, among other features, incorporates the adapted statistics presented here.

Processing and visualising trends in the binary data obtained from fragment analysis methods in molecular biology can be a time-consuming, and often cumbersome process. Scoring and processing binary data (from methods such as AFLPs, ISSRs, and RFLPs) entails complex workflows that require a high level of computational and/or bioinformatic skills. The application presented here (BinMat) is a free, open-source, and user-friendly R Shiny program that automates the analysis pipeline on one platform. BinMat is presented as a Graphical User Interface (GUI) via the Shiny package in R that is available online across different operating systems. It is also available as an R package. BinMat consolidates replicate sample pairs in a dataset into consensus reads, produces summary statistics, and allows the user to visualise their data as ordination plots and clustering trees without having to use multiple software programs and input files, or rely on previous programming experience.

BackgroundClinical skills are important for medical students and doctors for their everyday work and faculties are expected to teach and assess clinical skills and other competencies that medical students should have at the beginning of their career. Among competencies required for a young doctor to begin with his or her career are several clinical skills. The aim of our study was to evaluate in a low-stakes formative assessment the clinical skills level improvement of finishing medical students prior to and after their 9-week Internal medicine clerkship. Methods88 final year medical students participated in the study prior and after their 9-week Internal medicine clerkship. On the first day and on their last day of clerkship, they were assessed in three different clinical skills – history taking, venipuncture and rectal examination. Clinical skills were performed on artificial simulators. Objective Structured Clinical Examination (OSCE) was used to evaluate students and assessors used a prepared checklist for each clinical skill.ResultsA significant improvement was detected in total OSCE (p=0.001), history taking (p=0.001) and rectal examination results (p=0.023) on the second testing. Moreover, reduction of time needed to complete the task was also detected in all clinical skills. ConclusionsFinal year medical students have a lot of practical skills and are well prepared for the clinical environment. They are prepared to perform tested clinical skills on their own, without supervision. Additional activities should be considered to improve performance in the clinical skill.

What is precision medicine? No standard definition is found. Sometimes described as High Definition Medicine which is: “the dynamic assessment , management, and understanding of an individual’s health measured at (or near) its most basic units.” The impetus for this venture was advanced and stimulated by biogenetics, the study of how genes and their products affect health but also contribute to disease or resistance to cure. Medicine is an epistemology: a way of knowing, perceiving, remembering, finding out, proving, inferring, wondering, reflecting, a conceptual knowing relying upon observations fitted to disease concepts.

Objective: report maternal, fetal and neonatal complications associated with single intrauterine fetal death (sIUFD) in monochorionic twin pregnancies Design: prospective observational study Setting: UK Population: 81 monochorionic twin pregnancies with sIUFD after 14 weeks gestation, irrespective of cause Methods: UKOSS reporters submitted data collection forms using data from hospital records. Main outcome measures: aetiology of sIUFD; surviving co-twin outcomes: perinatal mortality, central nervous system (CNS) imaging, gestation and mode of delivery, neonatal outcomes; post-mortem findings; maternal outcomes. Results: The commonest aetiology was twin-twin transfusion syndrome (38/81, 47%), “spontaneous” sIUFD (22/81, 27%) was second commonest. Death of the co-twin was common (10/70, 14%). Preterm birth (<37 weeks gestation) was the commonest adverse outcome (77%): half were spontaneous and half iatrogenic. Only 46/75 (61%) cases had antenatal CNS imaging, of which 33 cases had known results of which 7/33 (21%) had radiological findings suggestive of neurological damage. Postnatal CNS imaging revealed an additional 7 babies with CNS abnormalities, all born at <36 weeks, including all 4 babies exhibiting abnormal CNS signs. Major maternal morbidity was relatively common, with 6% requiring ITU admission, all related to infection. Conclusions: Monochorionic twin pregnancies with single IUD are complex and require specialist care. Further research is required regarding optimal gestation at delivery of the surviving co-twin, preterm birth prevention, and classifying the cause of death in twin pregnancies. Awareness of the importance of CNS imaging, and follow-up, needs improvement.

Acute basilar artery occlusions (BAO) that are not quickly recanalised may leave the patient with severe motor detriment. Efficacies of current treatments remain unclear. In our case of a 47-year-old-man presenting with quadriparesis, MRI demonstrated bilateral pontine infarct. A year after mechanical thrombectomy, he was fully ambulant.

To predict plant responses under climate change, we need to understand how thermal conditions and herbivory contribute to shoot growth. Here, we used empirical dynamic modelling (EDM) to analyse an 18-year time series from an experimental system at the forest-tundra ecotone to identify relationships between growth, climate, insect herbivores, browsers and ramet age. We found that negative effects of insect herbivory on willow shoot growth are intensified during warmer years. Moreover, the negative effect of insect herbivores was moderated by ramet age, but this moderation was only realized in the absence of vertebrate herbivores – under browsing by both ptarmigans and reindeer, the positive effects of ramet age were eliminated. Jointly, these results demonstrate the context-dependent and dynamic effects of climate and multiple herbivores on shoot growth, and improve our ability to predict effects of climatic warming in arctic environments.

A document by Carolin Solomi. Click on the document to view its contents.

We use recent plot-level panel data from Tanzanian smallholder farmers to investigate maize yield responses to inorganic fertilizer under variable production conditions. We find that that the marginal product of nitrogen is strongly conditioned by soil organic carbon and rainfall levels. These results highlight important sources of variation in the returns to fertilizer investments across plots and smallholder farmers in the region. When farmgate prices for maize and fertilizer are incorporated into calculations of economic returns, we find that the profitability of fertilizer use is strongly dependent upon farmgate price ratio assumptions: under our most optimistic agronomic response estimates, while 71% of our sample has an AVCR greater than 1.5 at a maize-nitrogen price ratio of 0.15, that share drops to 30% at a price ratio of 0.12 and 2% at a price ratio of 0.09. Our findings provide insights into the low levels of commercial fertilizer use in Tanzania and elsewhere in the region, and suggest that raising active carbon stocks in smallholder systems should be a strategic priority for sustainable development.

5 KEY POINTSIn an outbreak, early healthcare personnel segregation should be considered to ensure that the provision of essential services may continue if a single team is quarantinedEstablishing a sustainable PPE usage guideline for healthcare workers early in the outbreak is of paramount importanceDesign and simulation of work processes for emergency airway creation should be considered in every otolaryngology department dealing with the COVID-19 outbreakScreening and postponement of non-urgent patient follow-ups frees up manpower and resourcesThe use of videoconferencing aids in restoring essential department activities and telemedicine may be a useful tool to explore in otolaryngology clinicsWord count: 1494

1Hsiung, Shih-Yi, 2Looy, Cindy,3Mander, Luke, and 4 Papper, Prahlada,1,2 Department of Integrative Biology and Museum of Paleontology, University of California, 3060 Valley Life Sciences Building #3140, Berkeley, California 94720, USA.3 College of Life and Environmental Sciences, University of Exeter, Prince of Wales Road, Exeter, Devon, EX4 4PS, UK.4 Department of Integrative Biology, University of California, 3060 Valley Life Sciences Building #3140, Berkeley, California 94720, USA.

BACKGROUND AND PURPOSE Neuroprotection is an important strategy for ischemic stroke treatment. Cajaninstilbene acid (CSA), a unique stilbenoid with a styryl group, is a potential neuroprotective agent. Hence, this study aimed to evaluate the neuroprotective effect and molecular mechanism of CSA against cerebral ischemia/reperfusion (I/R) damages. EXPERIMENTAL APPROACH The ischemic stroke was modeled by oxygen and glucose deprivation/reoxygenation (OGD/R) in SH-SY5Y cells and transient middle cerebral artery occlusion/reperfusion (MCAO/R) in rats. Tert-butyl hydroperoxide (t-BHP) was used to induce oxidative stress in cells. The signaling pathways were analyzed by Western blotting and inhibitor blocking. KEY RESULTS CSA possessed significant neuroprotective activity, as evidenced by the reduced cell death in OGD/R or t-BHP injured cells, and decreased infarct volume and neurological deficits in MCAO/R rats. Further studies indicated that the protective effect was achieved via the antioxidant activity of CSA, which decreased the oxidative stress and its related mitochondrial dysfunction in cells. Notably, Nrf2 was activated in cells and MCAO/R rats by CSA, and the inhibition of Nrf2 by brusatol weakened CSA-mediated neuroprotection. Furthermore, after applying a series of kinase inhibitors, CSA-induced Nrf2 activation was markedly inhibited by BML-275 (an AMPK inhibitor), implying that AMPK was the dominant kinase to regulate the Nrf2 pathway for CSA’s neuroprotective effects with enhanced AMPK phosphorylation observed both in vivo and in vitro. CONCLUSION AND IMPLICATION CSA exerted neuroprotection via activating AMPK/Nrf2 pathway to reduce I/R-induced cellular oxidative stress and mitochondrial disfunction. CSA could be a potential neuroprotective drug candidate for the treatment of ischemic stroke.

Pacific lamprey (Entosphenus tridentatus) is a culturally important and imperiled anadromous fish with a parasitic ocean phase. Biological uncertainties challenge restoration efforts and life-history research is needed to explain observed trait variation and inform management actions. Using two new whole genome assemblies and genotypes from 7,716 single nucleotide polymorphism (SNP) loci in 518 individuals from across the species range, we identified four large regions of high genomic divergence (on chromosomes 01, 02, 04, and 22). We genotyped a subset of 302 broadly distributed SNPs in 2,145 individuals for genotype-by-phenotype trait associations for adult body size, sexual maturity, migration distance and timing, adult swimming ability, and larval growth. Body size traits were strongly associated with SNPs on chromosomes 02 and 04. Moderate associations also implicated SNPs on chromosome 01 as being associated with variation in female maturity. Using genotypic frequencies of candidate SNPs for female maturity and body size, we extrapolated a heterogeneous spatiotemporal distribution of these traits based on independent datasets of larval and adult collections. These maturity and body size results guide future studies to validate these predicted phenotypic distributions across the geographic range and elucidate factors driving regional optimization of these traits for fitness.

DNA metabarcoding methods have been implemented in studies aimed at assessing and quantifying marine benthic biodiversity. In such studies, first DNA is extracted from environmental samples, then target barcodes are amplified and subsequently sequenced. In order to use such methods in a quantitative manner, a relation between the biomass and/or the abundance of a species and the number of its DNA sequences is assumed. However, studies validating this relationship are rare. In this study, we validate measurements of biomass and abundance between traditional morphological and molecular approaches. A total of 126 samples from a benthic intertidal system were analysed and quantified using abundancy and biomass estimates from the morphological approach and frequency of occurrence and relative read abundance estimates from the molecular approach. A relationship between biomass and relative read abundance was only found for one taxon (Pygospio) but all other taxons failed to show such a relationship. We discuss how quantitative measurements by the molecular approach are hampered by the ecology of DNA, i.e., all the processes which determine the amount of DNA in the environment including the ecology of the benthic species.

Since December 2019, a number of patients with novel coronavirus pneumonia (NCP) have been identified in Wuhan, Hubei Province, China. NCP has rapidly spread to other provinces and cities in China and other countries in the world. Due to the rapid increase in reported cases in China and around the world, on January 30, 2020, the World Health Organization (WHO) Emergency Committee announced that NCP is a Public Health Emergency of International Concern (PHEIC). However, there are relatively few suggestions and measures for tumor patients, especially patients with head and neck tumors. This article summarizes the prevention and control of disease in our medical institution to provide a reference for front-line head and neck surgeons.

Published in Journal of Cardiovascular Electrophysiology. DOI forthcoming.Author list and affiliationNorman C. Wang, MD, MS; Sandeep K. Jain, MD; N.A. Mark Estes III, MD; William W. Barrington, MD; Raveen Bazaz, MD; Aditya Bhonsale, MD, MHS; Krishna Kancharla, MBBS; Alaa A. Shalaby, MD, MSc; Andrew H. Voigt, MD; Samir Saba, MD Heart and Vascular Institute, University of Pittsburgh Medical Center, Pittsburgh, PennsylvaniaAuthor disclosures: Dr. Wang serves as a consultant for Abbott. Dr. Jain serves as a consultant for Medtronic, receives research support from Medtronic, and is a research investigator for Abbott, Boston Scientific, and Medtronic. Dr. Estes serves as a consultant for Abbott, Boston Scientific, and Medtronic. Dr. Saba receives research support from Abbott and Boston Scientific. The remaining authors have nothing to disclose. University of Pittsburgh Medical Center receives institutional cardiac electrophysiology fellowship support from Abbott, Boston Scientific, and Medtronic.Funding: This manuscript did not receive any specific grant(s) from funding agencies in the public, commercial, or not-for-profit sectors.Proposed Tweet: Priority plan for invasive cardiac EP procedures during the COVID-19 pandemic. #EPeeps #COVID19

Respiratory complications have been well remarked in the novel coronavirus disease (SARS-CoV-2/COVID-19), yet an emerging body of research indicates that cardiac involvement may be implicated in poor outcomes for these patients. This review seeks to gather and distill the existing body of literature that describes the cardiac implications of COVID-19. Notably, COVID-19 patients with pre-existing cardiovascular disease are counted in greater frequency in intensive care unit settings, and ultimately suffer greater rates of mortality. Other studies have noted cardiac presentations for COVID-19, rather than respiratory, such as acute pericarditis and left ventricular dysfunction. In some patients there has been evidence of acute myocardial injury, with correspondingly increased serum troponin I levels. With regard to surgical interventions, there is a dearth of data describing myocardial protection during cardiac surgery for COVID-19 patients. Although some insights have been garnered in the study of cardiovascular diseases for these patients, these insights remain fragmented and have yet to cement clear guidelines for actionable clinical practice. Further studies are imperative for a more cohesive understanding of the cardiac pathophysiology in COVID-19 patients to promote more informed treatment and, ultimately, better clinical outcomes. 

Novel structure catalyst with Ni nanoparticles highly dispersed in silicalite-2 zeolite (S2) was designed and synthesized via a micro-emulsion method followed by solvent-free crystallization route for dry reforming of methane (DRM). Compared with Ni-SiO2 catalyst without crystallization step, Ni/S2 by impregnation method and Ni@S2 prepared by directly crystallization (Ni@S2-O), the Ni@S2-two steps (Ni@S2-T) catalyst exhibited optimal catalytic activity and stability. No activity loss was observed during 70 h at high GHSV of 240000 mL g-1h-1. Meanwhile, Over spent Ni@S2-T catalyst, hardly any coke was found after the prolonged test, which indicated the remarkable anti-coking ability of Ni@S2-T. Thanks to the unique two-step synthetic processes, the confinement effect of the silicalite-2 shell and stronger metal-support interaction causing by the formation of Ni phyllosilicate were regarded as the main reasons for superb catalytic performances.

In a previous article [1], we found a specific integral transform 𝒬, such that [^{-1}[f(s)](x)](t) = ^{-1}[f(s)](t) for the case that f(s)=Γ(s)ζ(s), as this had a functional equation which could be used to define an invariance. In this work we create a generalised version of this. If we have a general functional relationship for f(x) $$ f(s) = h(s)f(g(s)) $$ where g(s) has a nice inverse g−1(s). Then the prescription for getting a 𝒬 that meets the requirement of equation 1 is finding a kernel to define the transform 𝒬 for an inverse power as [x^{-s}](q,s) = \int_0^\infty x^{-s} k(x,q) \; dx = q^{-g^{-1}(s)} (s))}{g'(g^{-1}(s))} Thus for a test function ϕ(s), $$ [^{-1}[\phi]]=\left[{2\pi i}^{c+i\infty} x^{-s}\phi(s)\;ds \right] $$ $$ [^{-1}[\phi]] = {2\pi i}^{c+i\infty} \left[x^{-s}\right]\phi(s)\;ds $$ $$ [^{-1}[\phi]] = {2\pi i}^{c+i\infty} q^{-g^{-1}(s)} (s))}{g'(g^{-1}(s))}\phi(s)\;ds $$ by letting s → g(t) we get $$ [^{-1}[\phi]] = {2\pi i}(c-i\infty)}^{g^{-1}(c+i\infty)} q^{-t} h(t)\phi(g(t))\;dt = ^{-1}[h(t)\phi(g(t))] $$ the condition for this to remain an inverse Mellin transform (up to sign) is that g−1(c + i∞) → d ± i∞ and g−1(c − i∞) → d ∓ i∞. When ϕ(s)=f(s) which satisfies the functional equation, then equation 1 is satisfied. GETTING THE KERNEL FUNCTION Because we have chosen our transform to be the inverse Mellin transform, we can extract our kernel function by taking the inverse Mellin transform of the desired result of 𝒬[x−s]. Then the kernel function should be given by $$ k(q,x) = ^{-1}\left[ q^{-s} {g'(s)} \right](x) $$ EXAMPLE Take the Riemann zeta function again, but this time without the additional gamma function $$ \zeta(s) = 2^s \pi^{s-1}\sin\left({2}\right) \Gamma(1-s)\zeta(1-s) $$ Here we have $$ h(s) = 2^s \pi^{s-1}\sin\left({2}\right) \Gamma(1-s) \\ g(s) = 1-s \\ g^{-1}(s) = 1-s\\ g'(x) = -1 \\ g^{-1}(c\pm i\infty) = d \mp i \infty $$ we may need to include an additional negative factor due to the integral limits swapping sign. We assemble $$ k_f(q,x) = ^{-1}\left[ -q^{-s} 2^s \pi^{s-1}\sin\left({2}\right) \Gamma(1-s) \right](x) = {q x}\right)}{q x} $$ If we take the modular form $$ y(z) = y\left({z+2}\right) $$ then $$ h(s) = 1\\ g(s) = {s+2} \\ g^{-1}(s) = {s-2} \\ g'(s) = {(s+2)^2} \\ $$ there is a sign swap $$ k_y(q,x) = ^{-1}\left[ q^{-s} (s+2)^2 \right](x) $$ this doesn’t work so well. Starting from a simpler example $$ f(x) = \Gamma(x)f(1-x) $$ gives k(x, q)= − e−qx, then $$ [x^{-s}] = -q^{s-1}\Gamma(1-s) $$ which apparently is connected to the Laplace Transform. Likewise $$ f(s) = (-i)^s\Gamma(s)f(1-s) $$ gives the kernel −e−iqx which will relate to the Fourier transform. For the functional equation $$ f(s) = \Gamma(s)f\left({2}\right) $$ we get $$ k(q,x) = ^{-1}[q^{-s}s^{-1}\Gamma(s)] = \Gamma(0,qx) $$ This defines a transform such that $$ [x^n] = {(n+1)q^{n+1}}, q>0 $$ which seems quite fundamental in terms of differentiation. Another interesting one satisfies $$ f(s) = \Gamma(s)f(s+s^2) $$ which gives $$ k(q,x) = e^{-q x} - + () $$ and $$ f(s) = \Gamma(s)f(s+{2}) $$ $$ k(q,x) = e^{-q x} - qx \Gamma(0,qx) $$ for which $$ [x^n] = {(n+2)q^{n+1}}, q>0 $$ REFERENCES [1] - Riemann Zeta Invariance Under Composed Integral Transform, https://www.authorea.com/users/5445/articles/436204-riemann-zeta-invariance-under-composed-integral-transform