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On an Integral Identity

Bostan, Alin ; Chamizo, Fernando and Sundqvist, Mikael Persson LU (2021) In American Mathematical Monthly 128(8). p.737-743
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.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
33F10, MSC: Primary 26A42, Secondary 33C65
in
American Mathematical Monthly
volume
128
issue
8
pages
7 pages
publisher
Taylor & Francis
external identifiers
  • scopus:85115648915
ISSN
0002-9890
DOI
10.1080/00029890.2021.1944754
language
English
LU publication?
yes
id
1202bde5-4309-4c5b-b036-9303b44e3603
date added to LUP
2021-10-08 14:41:30
date last changed
2025-04-04 15:14:19
@article{1202bde5-4309-4c5b-b036-9303b44e3603,
  abstract     = {{<p>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.</p>}},
  author       = {{Bostan, Alin and Chamizo, Fernando and Sundqvist, Mikael Persson}},
  issn         = {{0002-9890}},
  keywords     = {{33F10; MSC: Primary 26A42; Secondary 33C65}},
  language     = {{eng}},
  number       = {{8}},
  pages        = {{737--743}},
  publisher    = {{Taylor & Francis}},
  series       = {{American Mathematical Monthly}},
  title        = {{On an Integral Identity}},
  url          = {{http://dx.doi.org/10.1080/00029890.2021.1944754}},
  doi          = {{10.1080/00029890.2021.1944754}},
  volume       = {{128}},
  year         = {{2021}},
}