SOME INTEGRAL REPRESENTATIONS OF THE CLAUSEN FUNCTION Cl2(x) AND THE CATALAN CONSTANT G

DOI10.7858/eamj.2016.005zbMath1334.33001OpenAlexW2325949839MaRDI QIDQ2795323

Junesang Choi

Publication date: 21 March 2016

Published in: East Asian mathematical journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7858/eamj.2016.005

zbMATH Keywords

Catalan constantgeneralized zeta functionClausen function \(\mathrm{Cl}_2(x)\)

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35) Exponential and trigonometric functions (33B10)

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Identities for Catalan's constant arising from integrals depending on a parameter ⋮ Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\)

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