Ramanujan-Bernoulli numbers as moments of Racah polynomials

Abstract : The classical sequence of Bernoulli numbers is known to the the sequence of moments of a family of orthogonal polynomials. Some similar statements are obtained for another sequence of rational numbers, which is similar in many ways to the Bernoulli numbers.
Keywords : Continued fraction
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https://hal.archives-ouvertes.fr/hal-02136112
Contributor : Frédéric Chapoton <>
Submitted on : Tuesday, May 21, 2019 - 6:06:36 PM
Last modification on : Thursday, May 23, 2019 - 1:27:48 AM

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  • HAL Id : hal-02136112, version 1
  • ARXIV : 1905.09012

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Frédéric Chapoton. Ramanujan-Bernoulli numbers as moments of Racah polynomials. 2019. ⟨hal-02136112⟩

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