Abstract

In 2018, Masjed-Jamei and Koepf established interesting and valuable generalizations of various classical summation formulas for the generalized hypergeometric series $_{2}F_{1}$, $_{3}F_{2}$, $_{4}F_{3}$, $_{5}F_{4}$ and $_{6}F_{5}$. Building on this work, in this study, we establish seven generalized hypergeometric integrals of the MacRobert-style using these summation theorems. In addition to that, we present several special cases to illustrate the applicability of our results in the literature, including the most recent contributions by Kulkarni et al.

Keywords and Phrases

Generalized Hypergeometric function, Summation theorem, MacRobert integral.

A.M.S. subject classification

33C05, 33C20.

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