Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions [PDF]
Abstract and Applied Analysis, 2014 A remarkably large number of integral transforms and fractional integral formulas involving various special functions have been investigated by many authors.
Junesang Choi, Praveen Agarwal
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Analytic approximations of integral transforms in terms of elementary functions: application to special functions [PDF]
, 2023 This thesis focuses on the study of new analytical methods for the approximation of integral transforms and, in particular, of special functions that admit an integral representation. The importance of these functions lies in the fact that they are solutions to a great variety of functional equations that model specific physical phenomena.
Palacios Herrero, Pablo
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International Journal of Mathematics and Mathematical Sciences, 1982 A number of interesting theorems have recently been added to the existing ones in the field of integral transforms. The new arrivals can be broadly classified under two categories.
K. C. Gupta
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Some properties relating to the Mittag-Leffler function of two variables [PDF]
, 2021 An attempt is made here to study the Mittag–Leffler function with two variables. Its various properties including integral and operational relationships with other known Mittag–Leffler functions of one variable, pure and differential recurrence relations,
Ruzhansky, M, Bin-Saad, MG, Hasanov, A
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Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +5 more
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Computation of certain integral formulas involving generalized Wright function
Advances in Difference Equations, 2020 The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as
Nabiullah Khan +4 more
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Certain fractional formulas of the extended k-hypergeometric functions
Advances in Difference Equations, 2021 In this article, we aim to investigate various formulae for the ( p , k ) $(p,k)$ -analogues of Gauss hypergeometric functions, including the integral transforms and the operators of fractional calculus.
Mohamed Abdalla +4 more
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New Results Involving Riemann Zeta Function Using Its Distributional Representation
Fractal and Fractional, 2022 The relation of special functions with fractional integral transforms has a great influence on modern science and research. For example, an old special function, namely, the Mittag–Leffler function, became the queen of fractional calculus because its ...
Asifa Tassaddiq, Rekha Srivastava
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Parseval-Goldstein type identities involving the L-4-transform and the P-4-transform and their applications [PDF]
, 2007 In the present article the authors introduce several new integral transforms including the L-4-transform and the P-4-transform as generalizations of the classical Laplace transform and the classical Stieltjes transform, respectively. It is shown that the
DERNEK, AYŞE NEŞE
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A generalization of the Widder potential transform and applications [PDF]
, 2011 In the present paper, the authors consider the P(v,2)-transform as a generalization of the Widder potential transform and the Glasser transform. The P(v,2)-transform is obtained as an iteration of the L(2)-transform with itself. Many identities involving
DERNEK, AYŞE NEŞE
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