Applications of Lehmer’s Infinite Series Involving Reciprocals of the Central Binomial Coefficients
Journal of Function Spaces, 2022 The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (q=2,3,4,5) into ...
B. R. Srivatsa Kumar +2 more
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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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Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]
Sahand Communications in Mathematical AnalysisThe generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function. The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan +2 more
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Composition Formula for Saigo Fractional Integral Operator Associated with V-Function
Journal of Mathematics, 2022 In this study, we form integral formulas for Saigo’s hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by
Sunil Chandak +2 more
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Analytical expression for the exact curved surface area and volume of hyperboloid of two sheets via Mellin-Barnes type contour integration [PDF]
Journal of Mahani Mathematical Research, 2023 In this article, we aim at obtaining the analytical expression (not previously found and recorded in the literature) for the exact curved surface area of a hyperboloid of two sheets in terms of Appell's double hypergeometric function of second kind and ...
M.A. Pathan, M. Qureshi, Javid Majid
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Two Classes of Integrals Involving Extended Wright Type Generalized Hypergeometric Function
Communications in Mathematics and Applications, 2019 In this article, our main purpose is to investigate generalized integral formulas containing the extended Wright type generalized hypergeometric function.
A. Ghaffar +3 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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Some Unified Integrals for Generalized Mittag-Leffler Functions
Axioms, 2021 Here, we ascertain generalized integral formulas concerning the product of the generalized Mittag-Leffler function. These integral formulas are described in the form of the generalized Lauricella series.
Prakash Singh +2 more
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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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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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