On Two Applications of Herschel's Theorem

As a first application of a very old theorem, known as Herschel's theorem, we provide direct elementary proofs of several explicit expressions for some numbers and polynomials that are known in combinatorics. The second application deals with the analytical continuation of the polylogarithmic function of complex argument beyond the circle of convergence.

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Source https://hal.science/hal-00693295
Author Fekih-Ahmed, Lazhar
Maintainer CCSD
Last Updated May 20, 2026, 05:30 (UTC)
Created May 20, 2026, 05:30 (UTC)
Identifier hal-00693295
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 2012-05-04T00:00:00
harvest_object_id b778a0dd-6623-440e-b9ac-d3b6a53b5daa
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/1205.1104
set_spec type:UNDEFINED