Skip to Main content Skip to Navigation
Journal articles

On an Integral Identity

Abstract : We give three elementary proofs of a nice equality of definite integrals, recently proven by Ekhad, Zeilberger and Zudilin. The equality arises in 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.
Complete list of metadata
Contributor : Alin Bostan Connect in order to contact the contributor
Submitted on : Monday, December 21, 2020 - 11:27:38 AM
Last modification on : Monday, November 8, 2021 - 5:18:18 PM


Files produced by the author(s)


  • HAL Id : hal-03084594, version 1



Alin Bostan, Fernando Chamizo, Mikael Sundqvist. On an Integral Identity. American Mathematical Monthly, Mathematical Association of America, 2021, 128 (8), pp.737--743. ⟨hal-03084594⟩



Les métriques sont temporairement indisponibles