Axioms (Dec 2024)

Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions

  • Prathima Jayarama,
  • Dongkyu Lim,
  • Arjun K. Rathie,
  • Adem Kilicman

DOI
https://doi.org/10.3390/axioms13120887
Journal volume & issue
Vol. 13, no. 12
p. 887

Abstract

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In 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of several Eulerian-type integrals (single and double) and Laplace-type integrals involving a hypergeometric function. Several interesting special cases are also given. Symmetry arises spontaneously in the hypergeometric function.

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