ON A NEW CLASS OF INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION [.sub.4][F.sub.3]

The main aim of this research paper is to evaluate a general integral of the form [mathematical expression not reproducible] in the most general form for any [member of] [member of] Z and i,j = 0, [+ or -]1, [+ or -]2. The results are established with the help of generalized Watson's summation...

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Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 4; p. 1049
Main Author Kim, Insuk
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.09.2020
Subjects
Functions, Hypergeometric
Integrals
Mathematical research
South Korea
Online AccessGet full text
ISSN2146-1147

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Abstract The main aim of this research paper is to evaluate a general integral of the form [mathematical expression not reproducible] in the most general form for any [member of] [member of] Z and i,j = 0, [+ or -]1, [+ or -]2. The results are established with the help of generalized Watson's summation theorem due to Lavoie, et al. More than fifty interesting general integrals have also been obtained as special cases of our main findings. Keywords: Generalized hypergeometric function, Watson's Theorem, Definite integral. AMS Subject Classification: 33C05, 33C20, 33C70.
AbstractList The main aim of this research paper is to evaluate a general integral of the form [mathematical expression not reproducible] in the most general form for any [member of] [member of] Z and i,j = 0, [+ or -]1, [+ or -]2. The results are established with the help of generalized Watson's summation theorem due to Lavoie, et al. More than fifty interesting general integrals have also been obtained as special cases of our main findings. Keywords: Generalized hypergeometric function, Watson's Theorem, Definite integral. AMS Subject Classification: 33C05, 33C20, 33C70.
The main aim of this research paper is to evaluate a general integral of the form
Audience Academic
Author Kim, Insuk
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SubjectTerms Functions, Hypergeometric
Integrals
Mathematical research
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