Integral representation of sums of series associated with special functions

DOI10.1134/S0001434620090369zbMath1451.00062OpenAlexW3097957966MaRDI QIDQ2210423

Yanyan Li

Publication date: 6 November 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620090369

zbMATH Keywords

Riemann zeta functionDirichlet beta functionCatalan and Apéry constantsGreen function of ordinary differential operatorsintegral representation of sums of series

Mathematics Subject Classification ID

Formularies (00A22)

Related Items (1)

Representations of \(\zeta (2n + 1)\) and related numbers in the form of definite integrals and rapidly convergent series

Cites Work

• On integral representation of sums of some power series
• Experimental Determination of Apéry-like Identities for ς(2n + 2)
• New rapidly convergent series representations for $\zeta (2n+1)$
• Borwein and Bradley's Apérv-Like Formulae for ζ(4n + 3)
• Ordinary differential operators and the integral representation of sums of certain power series
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