Results 41 to 50 of about 5,545,862 (284)
A New Extension of the τ-Gauss Hypergeometric Function and Its Associated Properties
Mathematics, 2019 In this article, we define an extended version of the Pochhammer symbol and then introduce the corresponding extension of the τ-Gauss hypergeometric function.
Hari Mohan Srivastava +4 more
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Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations [PDF]
, 2007 Two-by-two matrix functions, which are the lifts of the local solutions of the matrix hypergeometric differential equation of SL SL type at 0,1,∞ 0,1,∞ to the upper half plane by the lambda function, are introduced.
WATANABE, Humihiko
core
Molecular Oncology, EarlyView.Circulating microRNA profiles distinguish nonmalignant Lynch syndrome from cancer‐associated Lynch syndrome, sporadic colorectal cancer, and healthy controls. Age‐stratified analysis reveals disease‐specific regulatory states, and a six‐miRNA panel shows concordant separation in an independent colorectal tissue cohort.
Ramadhani Salum Chambuso +5 more
wiley +1 more source
A Generalised Hypergeometric Function [PDF]
Proceedings of the Edinburgh Mathematical Society, 1956 The hypergeometric function1F(a, b; c; z) is analytic in the domain |arg(−z)| < π, and, when |z| < 1, may be represented by the seriesWhen |z| = 1 in the domain |arg(−z)| <π, this series converges2 to F(a; b; c; z) if R(a+b−c) < 0 (integral values of a, b and c are excluded in the present paper).
openaire +1 more source
Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions [PDF]
, 2016 25 ...
Deines, Alyson +4 more
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Bivariate Extended Confluent Hypergeometric Function Distribution
, 2013 : In this article, we define a bivariate extended confluent hypergeometric function density in terms of extended confluent hypergeometric function.
Morán Vásquez, Raúl Alejandro +2 more
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Fractional Calculus of the Extended Hypergeometric Function
, 2020 Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher ...
Sahin, Recep +3 more
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MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
FEBS Open Bio, EarlyView.MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source
Several properties of hypergeometric Bernoulli numbers
Journal of Inequalities and Applications, 2019 In this paper, we give several characteristics of hypergeometric Bernoulli numbers, including several identities for hypergeometric Bernoulli numbers which the convergents of the continued fraction expansion of the generating function of the ...
Miho Aoki +2 more
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ϵ-expansion of multivariable hypergeometric functions appearing in Feynman integral calculus
Nuclear Physics B, 2023 We present a new methodology, suitable for implementation on computer, to perform the ϵ-expansion of hypergeometric functions with linear ϵ dependent Pochhammer parameters in any number of variables.
Souvik Bera
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