Lerch-harmonic numbers related to Lerch transcendent

Autor:	Taekyun Kim, Dae San Kim, Jongkyum Kwon, Hyunseok Lee
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Lerch-harmonic numbers Lerch transcendent Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Mathematical and Computer Modelling of Dynamical Systems, Vol 29, Iss 1, Pp 315-323 (2023)
Druh dokumentu:	article
ISSN:	13873954 1744-5051 1387-3954
DOI:	10.1080/13873954.2023.2284360
Popis:	ABSTRACTHarmonic numbers and generalized harmonic numbers have been studied in connection with combinatorial problems, many expressions involving special functions in analytic number theory and analysis of algorithms. We introduce Lerch-harmonic numbers which generalize the harmonic numbers and the generalized harmonic numbers. The aim of this note is to derive some identities expressing certain finite sums as the infinite sums involving the Lerch-harmonic numbers. Then, by taking limits of such identities we obtain the corresponding infinite sums of the finite sums as the infinite sums involving the Lerch transcendents.
Databáze:	Directory of Open Access Journals
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