English

Certain results on Euler-type integrals and their applications

Classical Analysis and ODEs 2019-01-23 v1

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.

Keywords

Cite

@article{arxiv.1901.07343,
  title  = {Certain results on Euler-type integrals and their applications},
  author = {S Jabee and M Shadab and R B Paris},
  journal= {arXiv preprint arXiv:1901.07343},
  year   = {2019}
}

Comments

11 pages, 0 figures