Certain results on Euler-type integrals and their applications

R. Jabee; M. Shadab; R. B. Paris

doi:10.1007/s11139-019-00238-w

Certain results on Euler-type integrals and their applications

R. Jabee, M. Shadab^*, R. B. Paris

^*Corresponding author for this work

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Abstract

This paper deals with the evaluation of some definite Euler-type integrals in terms of the Wright hypergeometric function. We obtain a theorem on the Wright hypergeometric function and then use this theorem to evaluate some definite integrals. Further, we derive some results as applications of these evaluations. Multi-variable cases of the derived results of this paper are also briefly discussed.

Original language	English
Pages (from-to)	245-260
Number of pages	16
Journal	Ramanujan Journal
Volume	54
Issue number	2
Early online date	5 Jun 2020
DOIs	https://doi.org/10.1007/s11139-019-00238-w
Publication status	Published - 1 Feb 2021

Keywords

Euler-type integrals
Wright hypergeometric function
Mittag-Leffler function
Generating function

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10.1007/s11139-019-00238-w

Paris_CertainResultsOnEuler-TypeIntegrals_Accepted_2019Accepted author manuscript, 414 KB

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abstract = "This paper deals with the evaluation of some definite Euler-type integrals in terms of the Wright hypergeometric function. We obtain a theorem on the Wright hypergeometric function and then use this theorem to evaluate some definite integrals. Further, we derive some results as applications of these evaluations. Multi-variable cases of the derived results of this paper are also briefly discussed.",

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Certain results on Euler-type integrals and their applications

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