Results 111 to 120 of about 549,355 (294)
On applications of hypergeometric functions
AbstractThis is a survey article on the author's involvement over the years with hypergeometric functions. We discuss our counter-example to one of M. Robertson's conjectures, our results on the omitted values problems, Brannan's conjecture on the coefficients of a certain power series, generalizations of Ramanujan's asymptotic formulas for complete ...
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Feynman integrals as A-hypergeometric functions [PDF]
AbstractWe show that the Lee-Pomeransky parametric representation of Feynman integrals can be understood as a solution of a certain Gel’fand-Kapranov-Zelevinsky (GKZ) system. In order to define such GKZ system, we consider the polynomial obtained from the Symanzik polynomialsg=$$ \mathcal{U} $$U+$$ \mathcal{F} $$Fas having indeterminate coefficients ...
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RSEA: A Web Server for Pathway Enrichment Analysis of Metabolic Reaction Sets
Reaction Set Enrichment Analysis (RSEA), a web server tool designed for metabolic pathway enrichment analysis of reaction sets derived from genome‐scale metabolic models was introduced. RSEA converts given reaction lists into standardized identifiers and statistically evaluates their enrichment across metabolic pathways.
Merve Yarıcı+4 more
wiley +1 more source
Infinite summation formulas of Srivastava's general triple hypergeometric function [PDF]
In this paper we derive the infinite summation formulas of Srivastava's general triple hypergeometric function. Certain particular cases leading to infinite summation formulas for fourteen Lauricella and three Srivastava\'s triple hypergeometric functions are also presented.
arxiv
Variations on Hypergeometric Functions
45 ...
Zakrzewski, Michał, Żołądek, Henryk
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Hecke algebras and hypergeometric functions [PDF]
Contains fulltext : 104013.pdf (Publisher’s version ) (Open Access) Contains fulltext : 104013.pdf (Author’s version preprint ) (Open Access)
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A deep learning‐based method Siamese transformer reaction pair (STRP) prediction is presented for identifying important pathways in untargeted LC‐MS/MS metabolomics. STRP accurately predicts metabolic reaction pairs from known metabolites and tandem mass spectra of unannotated metabolic features, which enhance the utility of untargeted metabolomics ...
Han Bao+7 more
wiley +1 more source
Some results on the Kampé de Feŕiet hypergeometric matrix function [PDF]
In this paper, we obtain recursion formulas for the Kamp\'e de Fe\'riet hypergeometric matrix function. We also give finite and infinite summation formulas for the Kamp\'e de Fe\'riet hypergeometric matrix function.
arxiv
Synthetic cannabinoid receptor agonists are being infused on paper and illicitly introduced into prisons through mail correspondence. An approach to quantify and map the synthetic cannabinoid 5F‐ADB on a seized paper sample from a UK prison was determined using ultraperformance liquid chromatography–quadrupole Dalton–mass spectrometry.
Giorgia Vaccaro+4 more
wiley +1 more source
Extende beta, hypergeometric and confluent hypergeometric functions [PDF]
We aim to introduce a new extension of beta function and to study its important properties. Using this definition, we introduce and investigate new extended hypergeometric and confluent hypergeometric functions. Further, some hybrid representations of this extended beta function are derived which include some well known special functions and ...
arxiv