Properties and Applications of Extended Hypergeometric Functions by Daya Krishna Nagar, Raúl Alejandro Morán-Vásquez, Arjun K Gupta

Subjects: “…extended Gauss hypergeometric function…”
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Combinatorial Identities and Hypergeometric Functions, II by Horst Alzer

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Fractional Calculus of the Extended Hypergeometric Function by Şahin Recep, Yağcı Oğuz

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Some Inequalities of Extended Hypergeometric Functions by Shilpi Jain, Rahul Goyal, Praveen Agarwal, Juan L. G. Guirao

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Motivic coaction on generalized hypergeometric functions by Kamlesh, D

“…<p>This thesis deals with the motivic coaction and single-valued map for hypergeometric functions. It is known that hypergeometric functions have series expansions whose coefficients can be expressed in terms of multiple zeta values and multiple polylogarithms, the classical Beta function being a motivating example. …”

Some Summation Theorems for Generalized Hypergeometric Functions by Mohammad Masjed-Jamei, Wolfram Koepf

Subjects: “…Gauss and confluent hypergeometric functions…”
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Extension of exton's hypergeometric function K16 by Ahmed Ali Atash, Maisoon Ahmed Kulib

“…The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11]. …”
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Recursion formulas for certain quadruple hypergeometric functions by Jihad Younis, Ashish Verma, Hassen Aydi, Kottakkaran Sooppy Nisar, Habes Alsamir

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Degenerate binomial coefficients and degenerate hypergeometric functions by Taekyun Kim, Dae San Kim, Hyunseok Lee, Jongkyum Kwon

Subjects: “…Degenerate hypergeometric function…”
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Quadratic transformation inequalities for Gaussian hypergeometric function by Tie-Hong Zhao, Miao-Kun Wang, Wen Zhang, Yu-Ming Chu

Subjects: “…Hypergeometric function…”
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Inequalities for generalized hypergeometric functions of three variables by C.M. JOSHI, J.P. ARYA

Subjects: “…generalized hypergeometric functions…”
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Some integrals involving Wright”™s hypergeometric function by Daniel Duque, Leda Galué

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Convergence Aspects for Generalizations of q-Hypergeometric Functions by Thomas Ernst

“…In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric functions of 2n variables. The aim of the present article is to find convergence regions and a few conjectures of convergence regions for these functions based on a vector version of the Nova q-addition. …”
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On the maximum value of a confluent hypergeometric function by Fejzullahu, Bujar Xh.

“…We study the maximum value of the confluent hypergeometric function with oscillatory conditions of parameters. …”
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Inequalities of extended beta and extended hypergeometric functions by Saiful R. Mondal

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On bounds involving k-Appell’s hypergeometric functions by Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V Mihai, Khalida Inayat Noor

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New Conditions for Univalence of Confluent Hypergeometric Function by Georgia Irina Oros

“…Since in many particular cases checking directly the conditions from the definitions of starlikeness or convexity of a function can be difficult, in this paper we use the theory of differential subordination and in particular the method of admissible functions in order to determine conditions of starlikeness and convexity for the confluent (Kummer) hypergeometric function of the first kind. Having in mind the results obtained by Miller and Mocanu in 1990 who used <inline-formula><math display="inline"><semantics><mrow><mi>a</mi><mo>,</mo><mi>c</mi><mo>∈</mo><mi mathvariant="double-struck">R</mi></mrow></semantics></math></inline-formula>, for the confluent (Kummer) hypergeometric function, in this investigation <i>a</i> and <i>c</i> complex numbers are used and two criteria for univalence of the investigated function are stated. …”
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A new generalization of generalized hypergeometric functions by Arjun K. Rathie

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Definite integration using the generalized hypergeometric functions. by Avgoustis, Ioannis Dimitrios

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Generalized hypergeometric functions with applications in statistics and physical sciences / by 316050 Mathai, A. M., Saxena, R. K.

Subjects: “…Hypergeometric functions…”