A study on integral transforms of the generalized Lommel-Wright function [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: The aim of this article is to establish integral transforms of the generalized Lommel-Wright function. Methods: These transforms are expressed in terms of the Wright Hypergeometric function.
Mohammad Saeed Khan +3 more
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Symmetry, 2022 There have been numerous investigations on the hypergeometric series 2F1 and the generalized hypergeometric series pFq such as differential equations, integral representations, analytic continuations, asymptotic expansions, reduction cases, extensions of one and several variables, continued fractions, Riemann’s equation, group of the hypergeometric ...
Mohd Idris Qureshi +2 more
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Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x) [PDF]
, 2012 We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer.
Miller, A. R., Paris, Richard B.
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Coherent Excitation of a Two-Level Atom driven by a far off-resonant Classical Field: Analytical Solutions [PDF]
, 2010 We present an analytical treatment of coherent excitation of a Two-Level Atom driven by a far-off resonant classical field. A class of pulse envelope is obtained for which this problem is exactly solvable.
A. M. Dykhne +15 more
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Certain summation and transformation formulas for generalized hypergeometric series [PDF]
, 2009 We derive summation formulas for generalized hypergeometric series of unit argument, one of which upon specialization reduces to Minton’s summation theorem.
Miller, Allen R.
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Integrals Involving Aleph Function and Wright’s Generalized Hypergeometric Function
, 2017 . The aim of this paper is to establish certain integrals involving product of the Aleph function with Srivastava’s polynomials and Fox-Wright’s Generalized Hypergeometric function.
D.L. Suthar +2 more
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On Hypergeometric Functions and Generalizations of Legendre's Relation
Journal of Mathematical Analysis and Applications, 2001 AbstractWe prove some convexity properties for a sum of hypergeometric functions and obtain a generalization of Legendre's relation for complete elliptic integrals. We apply these results to prove some inequalities for hypergeometric functions, incomplete beta-functions, and Legendre functions.
E.A Karatsuba, Matti Vuorinen
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On a new class of integrals involving generalized Mittag-Leffler function [PDF]
Surveys in Mathematics and its Applications, 2016 In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function.
Naresh Menaria +2 more
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On the Volterra-Type Fractional Integro-Differential Equations Pertaining to Special Functions
Fractal and Fractional, 2020 In this article, we apply an integral transform-based technique to solve the fractional order Volterra-type integro-differential equation (FVIDE) involving the generalized Lorenzo-Hartely function and generalized Lauricella confluent hypergeometric ...
Yudhveer Singh +4 more
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A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms
Journal of Mathematics, 2022 The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new.
Vandana Palsaniya +3 more
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