On an integral identity
Classical Analysis and ODEs
2020-02-26 v1 Number Theory
Abstract
We give three elementary proofs of a nice equality of definite integrals, which arises from the theory of bivariate hypergeometric functions, and has connections with irrationality proofs in number theory. We furthermore provide a generalization together with an equally elementary proof and discuss some consequences.
Cite
@article{arxiv.2002.10682,
title = {On an integral identity},
author = {Alin Bostan and Fernando Chamizo and Mikael P. Sundqvist},
journal= {arXiv preprint arXiv:2002.10682},
year = {2020}
}
Comments
6 pages