Certain results on Euler-type integrals and their applications

2019/01/22 by Saima Jabee, Jabee, S, Mohd Shadab +3
Mathematics · #Mathematical functions and polynomials #Iterative Methods for Nonlinear Equations #Advanced Mathematical Identities

paper · doi:10.48550/arxiv.1901.07343

Abstract

This paper deals with the evaluation of some definite Euler-type integrals in terms of the Wright hypergeometric function. We obtain a theorem on the Wright hypergeometric function and then use this theorem to evaluate some definite integrals. Further, we derive some results as applications of these evaluations. Multi-variable cases of the derived results of this paper are also briefly discussed.

Citations

• The Asymptotic Expansion of Generalized Hypergeometric Functions

Related

• Euler-type integrals for the generalized hypergeometric matrix function
• Some unified integrals associated with generalized struve function
• Some integrals involving generalized k-Struve functions
• Γ-evaluations of hypergeometric series
• Using exponential generating functions to evaluate definite integrals