On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums

DOI10.1007/s40574-019-00198-5zbMath1465.33005arXiv1806.08411OpenAlexW2810489916WikidataQ128199972 ScholiaQ128199972MaRDI QIDQ2011336

Marco Cantarini, Jacopo D'Aurizio

Publication date: 6 December 2019

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08411

zbMATH Keywords

hypergeometric seriescomplete elliptic integralharmonic numbercentral binomial coefficientFourier-Legendre expansion

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Dirichlet series, exponential series and other series in one complex variable (30B50) Elliptic functions and integrals (33E05)

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