DOUBLE INTEGRALS INVOLVING PRODUCT OF TWO GENERALIZED HYPERGEOMETRIC FUNCTIONS

DOUBLE INTEGRALS INVOLVING PRODUCT OF TWO GENERALIZED HYPERGEOMETRIC FUNCTIONS

In this paper two interesting double integrals involving product of two generalized hypergeometric functions have been evaluated in terms of gamma function. The results are derived with the help of known integrals involving hypergeometric functions recorded in the paper of Rathie et al. [6]. We also...

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Veröffentlicht in:Honam mathematical journal 2021-03, Vol.43 (1), p.26-34
Hauptverfasser: Kim, Joohyung, Kim, Insuk
Format: Artikel
Sprache:kor
Schlagworte:
Definite integrals
Generalized hypergeometric function
Hypergeometric function
Watson summation theorem
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Zusammenfassung:In this paper two interesting double integrals involving product of two generalized hypergeometric functions have been evaluated in terms of gamma function. The results are derived with the help of known integrals involving hypergeometric functions recorded in the paper of Rathie et al. [6]. We also give several very interesting special cases.
ISSN:1225-293X