Results 41 to 50 of about 107,962 (311)
Rational Hypergeometric Functions
, 1999 Multivariate hypergeometric functions associated with toric varieties were introduced by Gel'fand, Kapranov and Zelevinsky. Singularities of such functions are discriminants, that is, divisors projectively dual to torus orbit closures. We show that most of these potential denominators never appear in rational hypergeometric functions.
Cattani, E, Dickenstein, A, Sturmfels, B
openaire +2 more sources
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
doaj +1 more source
On A Matrix Hypergeometric Differential Equation
مجلة العلوم البحتة والتطبيقية, 2021 In this paper we consider a matrix Hypergeometric differential equation, which are special matrix functions and solution of a specific second order linear differential equation.
Salah Hamd +2 more
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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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A generalization of Clausen's identity
, 2009 The paper aims to generalize Clausen's identity to the square of any Gauss hypergeometric function. Accordingly, solutions of the related 3rd order linear differential equation are found in terms of certain bivariate series that can reduce to 3F2 series ...
G.E. Andrews +6 more
core +2 more sources
Molecular Oncology, EarlyView.Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad +12 more
wiley +1 more source
Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source
Researches in MathematicsThis research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
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Advanced Healthcare Materials, EarlyView.This work presents ARC‐3D, a soft 3D model that recreates how brain support cells, called astrocytes, react to oxidative stress. The system visualizes rapid calcium changes and inflammatory signals, and shows how the drug KDS12025 can protect cells from damage. ARC‐3D offers a simple, reliable way to study early drivers of brain inflammation.
Ju‐Kang Kim +6 more
wiley +1 more source