On some slowly convergent series involving the Hurwitz zeta-function.

DOI10.1016/S0377-0427(03)00617-4zbMath1038.11055MaRDI QIDQ1414334

Masahiro Hashimoto, Masami Yoshimoto, Wen Peng Zhang, Shigeru Kanemitsu, Yoshio Tanigawa

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

gamma functionHurwitz zeta-functionBernoulli numbersStirling numbers of the second kind

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35)

Related Items (2)

Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals ⋮ Unnamed Item

Cites Work

• On the Taylor expansion of the Lerch zeta-function
• Some integral and asymptotic formulas associated with the Hurwitz zeta function
• On the Hurwitz-Lerch zeta-function.
• Some series of the zeta and related functions
• Sums involving the Hurwitz zeta function
• On rapidly convergent series expressions for zeta- and \(L\)-values, and log sine integrals
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