Functional equations for the Stieltjes constants

DOI10.1007/S11139-015-9691-YzbMath1412.11108arXiv1402.3746OpenAlexW1584358343MaRDI QIDQ265589

Mark W. Coffey

Publication date: 4 April 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3746

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functionStieltjes constantsLaurent expansiondigamma functionpolygamma function

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35) Evaluation of number-theoretic constants (11Y60)

Related Items (5)

Unnamed Item ⋮ A bound for Stieltjes constants ⋮ Approximating and bounding fractional Stieltjes constants ⋮ Unnamed Item ⋮ Shifted Euler constants and a generalization of Euler-Stieltjes constants

Cites Work

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• Some Relations and Values for the Generalized Riemann Zeta Function
• Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants
• On the Addition and Multiplication Theorems for Special Functions
• Note on the Hurwitz Zeta-Function
• On the Hurwitz zeta-function

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