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Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
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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.
Title: Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
Description:
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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