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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.
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https://hal.inria.fr/hal-03084594
Contributor : Alin Bostan <>
Submitted on : Monday, December 21, 2020 - 11:27:38 AM
Last modification on : Tuesday, December 22, 2020 - 3:35:26 AM

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  • HAL Id : hal-03084594, version 1

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Alin Bostan, Fernando Chamizo, Mikael Sundqvist. On an Integral Identity. American Mathematical Monthly, Mathematical Association of America, In press. ⟨hal-03084594⟩

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