Bounds for Incomplete Confluent Fox–Wright Generalized Hypergeometric Functions by Tibor K. Pogány

“…New cumulative distribution functions are generated and expressed in terms of lower incomplete Fox–Wright functions and/or generalized hypergeometric functions, whilst in the closing part of the article, related bounding inequalities are obtained for them.…”
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Sums of finite products of Pell polynomials in terms of hypergeometric functions by Asim Patra, Gopal Krishna Panda

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On differential subordinations and argument inequalities associated with the generalized hypergeometric functions by Ali Muhammad

“…The main object of this paper is to derive several interesting argument properties of a linear operator H_{p,q,s}^{m,μ}(α₁) associated with the generalized hypergeometric functions.…”
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Summation Theorems Involving Appell’s Hypergeometric Functions F2 by M. S. Baboo, Ashfaq Ahmad

Derivatives of any Horn-type hypergeometric functions with respect to their parameters by Vladimir V. Bytev, Bernd A. Kniehl

“…We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. …”
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Fast calculation of scattering patterns using hypergeometric function algorithms by Michael Wagener, Stephan Förster

“…Here we introduce an algorithm based on the use of hypergeometric functions providing gains in computational speed of up to 105 compared to present numerical integration algorithms. …”
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An interesting integral involving product of two generalized hypergeometric function by Harsh Vardhan Harsh, Medhat A. Rakha, Puneet Krishna Sharma, Arjun Rathie

“…In this research note, an interesting integral involving hypergeometric function has been evaluated in terms of gamma function. …”
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Convexity and inequalities related to extended beta and confluent hypergeometric functions by Feng Qi, Kottakkaran Sooppy Nisar, Gauhar Rahman

Subjects: “…extended confluent hypergeometric function…”
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A generalization of the integral operators involving the Gauss' hypergeometric function by Luis Curiel, Leda Galue

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Univalence Conditions for Gaussian Hypergeometric Function Involving Differential Inequalities by Georgia Irina Oros

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Certain transformations of basic hypergeometric functions of two variables – II by R. K. Saxena, R. Kumar

“…As <em>q ⟶ 1, </em>known transformations for ordinary hypergeometric functions given earlier by Carlitz [2] and Jain [4] are obtained.…”
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On conformal blocks, crossing kernels and multi-variable hypergeometric functions by Heng-Yu Chen, Hideki Kyono

“…Abstract In this note, we present an alternative representation of the conformal block with external scalars in general spacetime dimensions in terms of a finite summation over Appell fourth hypergeometric function F4. We also construct its generalization to the non-local primary exchange operator with continuous spin and its corresponding Mellin representation which are relevant for Lorentzian spacetime. …”
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On some refinements for inequalities involving zero-balanced hypergeometric function by Tie-Hong Zhao, Zai-Yin He, Yu-Ming Chu

Subjects: “…gaussian hypergeometric function…”
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Applications of Inequalities in the Complex Plane Associated with Confluent Hypergeometric Function by Georgia Irina Oros

“…In this paper, the theory of differential superordination is applied to confluent hypergeometric function. Hypergeometric functions are intensely studied nowadays, the interest on the applications of those functions in complex analysis being renewed by their use in the proof of Bieberbach’s conjecture given by de Branges in 1985. …”
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Feynman integrals in two dimensions and single-valued hypergeometric functions by Claude Duhr, Franziska Porkert

“…Abstract We show that all Feynman integrals in two Euclidean dimensions with massless propagators and arbitrary non-integer propagator powers can be expressed in terms of single-valued analogues of Aomoto-Gelfand hypergeometric functions. The latter can themselves be written as bilinears of hypergeometric functions, with coefficients that are intersection numbers in a twisted homology group. …”
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Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions by M.K. Aouf, A.O. Mostafa, H.M. Zayed

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On the characterization properties of certain hypergeometric functions in the open unit disk by Deepak Bansal, Ravinder Krishna Raina, Sudhananda Maharana, Nak Eun Cho

“…Abstract Our purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function z 1 F 2 ( a ; b , c ; z ) $z{}_{1}F_{2}(a;b,c;z)$ in the open unit disk. …”
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On Arithmetic Properties of the Values of Hypergeometric Functions Differentiated with Respect to Parameter by P. L. Ivankov, V. P. Obukhov

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A parafermionic hypergeometric function and supersymmetric 6j-symbols by Elena Apresyan, Gor Sarkissian, Vyacheslav P. Spiridonov

“…We show that this generalized hypergeometric function is a limiting form of the rarefied elliptic hypergeometric function V(r) and derive its transformation properties and a mixed difference-recurrence equation satisfied by it. …”
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Mapping properties of certain linear operator associated with hypergeometric functions by T. Panigrahi, R. El-Ashwah

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