On the Hurwitz zeta function with an application to the beta-exponential distribution

DOI10.1186/s13660-020-02357-1zbMath1503.33001arXiv1909.07026OpenAlexW3014055090WikidataQ115519130 ScholiaQ115519130MaRDI QIDQ2069371

Bernardo Nipoti, Julyan Arbel, Olivier Marchal

Publication date: 20 January 2022

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

Full work available at URL: https://arxiv.org/abs/1909.07026

zbMATH Keywords

monotonicityHurwitz zeta functioncumulantspolygamma functionbeta-exponential distribution

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Hurwitz and Lerch zeta functions (11M35)

Cites Work

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• Two-sided inequalities for the extended Hurwitz-Lerch zeta function
• Complete monotonicity of some functions involving polygamma functions
• On twisted \(q\)-Hurwitz zeta function and \(q\)-two-variable \(L\)-function
• Inequalities for the gamma and polygamma functions
• \(q\)-Dedekind type sums related to \(q\)-zeta function and basic \(L\)-series
• A Hilbert integral inequality with Hurwitz zeta function
• Generalized exponential distributions
• Sharp Inequalities for Polygamma Functions
• On the Hurwitz zeta-function
• Mean-value inequalities for the polygamma functions

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