A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators [PDF]
Advances in Difference Equations, 2018 In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya +3 more
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Quadratic transformation inequalities for Gaussian hypergeometric function
Journal of Inequalities and Applications, 2018 In the article, we present several quadratic transformation inequalities for Gaussian hypergeometric function and find the analogs of duplication inequalities for the generalized Grötzsch ring function.
Tie-Hong Zhao +3 more
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Integral representations of generalized Lauricella hypergeometric functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1992 The generalized hypergeometric function was introduced by Srivastava and Daoust. In the present paper a new integral representation is derived. Similarly new integral representations of Lauricella and Appell function are obtained.
Vu Kim Tuan, R. G. Buschman
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Properties of Generalized Univariate Hypergeometric Functions [PDF]
Communications in Mathematical Physics, 2007 46 ...
van de Bult, F.J. +2 more
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On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$ [PDF]
Researches in MathematicsThe paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv +3 more
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Confluence expansions of the generalized hypergeometric function
Journal of Mathematical Physics, 2003 By confluencing a subset of upper and lower parameters in the generalized hypergeometric function FQP(a1,,…,aP,c1,…,cQ;z) with the variable z one obtains a lower-order hypergeometric function in the limit when the confluence parameters go to infinity.
Bengt Nagel, Nagel, Bengt,
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AxiomsWe systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided.
Juan Luis González-Santander
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Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
AxiomsIn 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama +3 more
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Single-Cell Integration of Mouse Models of Autism Reveals Conserved Transcriptomic Signatures of Excitatory-Inhibitory Imbalance and Glial Dysfunction. [PDF]
GliaIntegrated scRNA‐seq from 11 ASD models reveals convergent E/I imbalance and glial dysfunction. Conserved astrocyte and oligodendrocyte dysregulation transcend model‐specific variability. Validated by human datasets. ABSTRACT The etiological heterogeneity of autism spectrum disorder (ASD) complicates identifying core molecular mechanisms.
Nani JV, Duque VJ, Muotri AR, Mecawi AS.
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Symmetry, 2022 There have been numerous investigations on the hypergeometric series 2F1 and the generalized hypergeometric series pFq such as differential equations, integral representations, analytic continuations, asymptotic expansions, reduction cases, extensions of one and several variables, continued fractions, Riemann’s equation, group of the hypergeometric ...
Mohd Idris Qureshi +2 more
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