Four parametric linear Euler sums

DOI10.1016/j.jmaa.2019.123661zbMath1437.11123OpenAlexW2983196596WikidataQ126776218 ScholiaQ126776218MaRDI QIDQ2287261

Horst Alzer, Junesang Choi

Publication date: 20 January 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123661

zbMATH Keywords

zeta functionEuler sumsharmonic numbers

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15)

Related Items

Variant Alternating Euler Sums of Higher Order ⋮ Two parameterized series representations for the digamma function ⋮ Extension of the four Euler sums being linear with parameters and series involving the zeta functions ⋮ Log-hyperbolic tangent integrals and Euler sums ⋮ Parameterized families of polylog integrals ⋮ On the Stieltjes constants with respect to harmonic zeta functions ⋮ Derivation of computational formulas for certain class of finite sums: Approach to generating functions arising from p$$ p $$‐adic integrals and special functions ⋮ Euler sums of generalized harmonic numbers and connected extensions ⋮ Unnamed Item ⋮ Integrals involving the Legendre Chi function ⋮ Two integrals involving the Legendre chi function ⋮ Unnamed Item ⋮ EVALUATING LOG-TANGENT INTEGRALS VIA EULER SUMS

Uses Software

• Maple

Cites Work

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