New inequalities for the Hurwitz zeta function

DOI10.1007/s12044-008-0037-1zbMath1192.11054OpenAlexW1990886112MaRDI QIDQ732828

Necdet Batir

Publication date: 15 October 2009

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-008-0037-1

zbMATH Keywords

Hurwitz zeta functionRiemann zeta functioninequalitiesdigamma function

Mathematics Subject Classification ID

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

Related Items (3)

Monotonicity properties of the Riemann zeta function ⋮ New integral representations for the Fox-Wright functions and its applications ⋮ The Hurwitz zeta function: monotonicity, convexity and inequalities

Cites Work

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• On some properties of digamma and polygamma functions
• Sharp inequalities for the Hurwitz zeta function
• Inequalities for the Hurwitz zeta function
• [https://portal.mardi4nfdi.de/wiki/Publication:3039703 On the Integral � ∞ 0 e -μt t t ν- 1 log m t dt]
• Monotonicity Properties of the Hurwitz Zeta Function
• Integrals, an Introduction to Analytic Number Theory
• Inequalities for the Polygamma Functions
• Convexité, complète monotonie et inégalités sur les fonctions zèta et gamma, sur les fonctions des opérateurs de Baskakov et sur des fonctions arithmétiques

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