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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

A NEW CLASS OF DOUBLE INTEGRALS

A New Class of Double Integrals

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2021, v.28 no.2, pp.111-117
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.2.111
Anil, Aravind K. (Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education)
Prathima, J. (Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education)
Kim, Insuk (Department of Mathematics Education, Wonkwang University)

Abstract

In this paper we aim to establish a new class of six definite double integrals in terms of gamma functions. The results are obtained with the help of some definite integrals obtained recently by Kim and Edward equality. The results established in this paper are simple, interesting, easily established and may be useful potentially.

keywords
generalized hypergeometric functions, classical summation theorems, integral representation for <tex> $_2F_1$</tex>

한국수학교육학회지시리즈B:순수및응용수학