Results 21 to 30 of about 5,729 (101)
On Decomposition Formulas Related to the Gaussian Hypergeometric Functions in Three Variables
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, by using certain inverse pairs of symbolic operators introduced by Choi and Hasanov in 2011, we establish several decomposition formulas associated with the Gaussian triple hypergeometric functions. Some transformation formulas for these functions have also been obtained.
Anvar Hasanov +3 more
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Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 Recently, hypergeometric functions of four variables are investigated by Bin‐Saad and Younis. In this manuscript, our goal is to initiate a new quadruple hypergeometric function denoted by X844, and then, we ensure the existence of solutions of systems of partial differential equations for this function.
Anvar Hasanov +3 more
wiley +1 more source
Some Formulas for New Quadruple Hypergeometric Functions
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we aim to introduce six new quadruple hypergeometric functions. Then, we investigate certain formulas and representations for these functions such as symbolic formulas, differential formulas, and integral representations.
Jihad A. Younis +3 more
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 Generating functions plays an essential role in the investigation of several useful properties of the sequences which they generate. In this paper, we establish certain generating relations, involving some quadruple hypergeometric functions introduced by Bin‐Saad and Younis. Some interesting special cases of our main results are also considered.
Jihad Younis +3 more
wiley +1 more source
An extension of beta function, its statistical distribution, and associated fractional operator
Advances in Difference Equations, 2020 Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and Lauricella function and examine various ...
Ankita Chandola +3 more
doaj +1 more source
Certain Unified Integrals Involving a Multivariate Mittag–Leffler Function
Axioms, 2021 A remarkably large number of unified integrals involving the Mittag–Leffler function have been presented. Here, with the same technique as Choi and Agarwal, we propose the establishment of two generalized integral formulas involving a multivariate ...
Shilpi Jain +3 more
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Towards Feynman rules for conformal blocks
Journal of High Energy Physics, 2021 We conjecture a simple set of “Feynman rules” for constructing n-point global conformal blocks in any channel in d spacetime dimensions, for external and exchanged scalar operators for arbitrary n and d.
Sarah Hoback, Sarthak Parikh
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Derivatives of Horn-type hypergeometric functions with respect to their parameters [PDF]
, 2017 We consider the derivatives of Horn hypergeometric functions of any number variables with respect to their parameters. The derivative of the function in $n$ variables is expressed as a Horn hypergeometric series of $n+1$ infinite summations depending on ...
Bytev, V., Kniehl, B., Moch, S.
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Tuijin Jishu/Journal of Propulsion Technology, 2023 In this research paper we have obtained recent applications of multiple hypergeometric transformations in function spaces and associated reductions formulas of Kampé de Ferlet’s, Exton’s double series, and Srivastava triple series.
S. K. Sahani, A. K. Thakur, P. Chandra
semanticscholar +1 more source
Decomposition formulas for some quadruple hypergeometric series
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In the present work, the authors obtained operator identities and decomposition formulas for second order Gauss hypergeometric series of four variables into products containing simpler hypergeometric functions. A Choi–Hasanov method based on the inverse
A.S. Berdyshev, A. Hasanov, A.R. Ryskan
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