On the Hurwitz zeta function with an application to the exponential-beta distribution - Archive ouverte HAL Access content directly
Journal Articles Journal of Inequalities and Applications Year : 2020

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

Abstract

We prove a monotonicity property of the Hurwitz zeta function which, in turn, translates into a chain of inequalities for polygamma functions of different orders. We provide a probabilistic interpretation of our result by exploiting a connection between Hurwitz zeta function and the cumulants of the exponential-beta distribution.
Fichier principal
Vignette du fichier
main.pdf (319.38 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02400451 , version 1 (09-12-2019)

Identifiers

Cite

Julyan Arbel, Olivier Marchal, Bernardo Nipoti. On the Hurwitz zeta function with an application to the exponential-beta distribution. Journal of Inequalities and Applications, 2020, 2020, pp.89:1-8. ⟨10.1186/s13660-020-02357-1⟩. ⟨hal-02400451⟩
97 View
52 Download

Altmetric

Share

Gmail Facebook X LinkedIn More