Alin Bostan, Fernando Chamizo, Mikael P. Sundqvist
Published 2020-02-25Version 1
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.
Two Definite Integrals That Are Definitely (and Surprisingly!) Equal
Two Definite Integrals Involving Products of Four Legendre Functions
New definite integrals and a two-term dilogarithm identity
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