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Extended Conformable K‐Hypergeometric Function and Its Application
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.The extended conformable k‐hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including nuclear physics, fluid dynamics, quantum mechanics, and astronomy.
Maham Abdul Qayyum +5 more
wiley +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we present a new approach to construct fractional 2‐point right Radau type integral inequalities using a novel identity, for functions with s‐convex first derivatives in the second sense via Riemann–Liouville fractional integral operators.
Xiao Lan Liu +5 more
wiley +1 more source
A Class of Integral Operators Preserving Subordination and Superordination
Journal of Inequalities and Applications, 2008 We give some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk.
Cho NakEun, Kim InHwa
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On a problem for mixed type equation with partial riemann-liouville fractional derivative
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order.
Oleg A Repin, Anna V Tarasenko
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Certain Results on Extended Beta and Related Functions Using Matrix Arguments
Journal of New TheoryIn this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain +2 more
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Ratios of the Gauss Hypergeometric Functions with Parameters Shifted by Integers: More on Integral Representations [PDF]
, 2021 Alexander Dyachenko, Dmitrii Karp
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The Saigo operator applied to some special functions
Revista Técnica de la Facultad de Ingeniería, 2010 The Saigo fractional operators are defined using the Gauss hypergeometric functions as kernel. They generalize Riemann-Liouville, Erdélyi-Kober and Weyl operators.
Josefina Matera, Beatriz González
doaj
Abstract and Applied Analysis, 2014 Computing the matrix elements of the linear operator, which transforms the spherical basis of SO(3,1)-representation space into the hyperbolic basis, very recently, Shilin and Choi (2013) presented an integral formula involving the product of two ...
I. A. Shilin, Junesang Choi
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Advances in High Energy Physics, 2018 We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
T. A. Ishkhanyan +2 more
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Solution of abel‐type hypergeometric integral equation
Mathematical Modelling and Analysis, 1997 The paper is devoted to the study of the one‐dimensional integral equation involving the Gauss hypergeometric function in the kernel. The necessary and sufficient conditions for the solvability of such an equation in the space of summable functions are ...
A. A. Kilbas +3 more
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