On the Hurwitz Zeta Function

We give new integral and series representations of the Hurwitz zeta function. We also provide a closed-form expression of the coefficients of the Laurent expansion of the Hurwitz-zeta function about any point in the complex plane.

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Source https://hal.science/hal-00602532
Author Fekih-Ahmed, Lazhar
Maintainer CCSD
Last Updated May 20, 2026, 05:15 (UTC)
Created May 20, 2026, 05:15 (UTC)
Identifier hal-00602532
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor National Engineering School of Tunis [Tunis El Manar University] = École Nationale d'Ingénieurs de Tunis [Université de Tunis – El Manar] (ENIT) ; Tunis El Manar University [University of Tunis El Manar] [Tunisia] = Université de Tunis El Manar [Tunisie] = جامعة تونس المنار (ar) (UTM)
creator Fekih-Ahmed, Lazhar
date 2012-05-02T00:00:00
harvest_object_id a955b97f-ff58-45a1-b030-057f46e02382
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-07-15T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1106.4532
set_spec type:UNDEFINED