Document
Identifier
https://digitalrepository.uob.edu.bh/id/ee4c18f2-b8b6-46d0-825b-cd0d7c76da3c

On Extended Hurwitz-Lerch Zeta Function

Linked Agent
Publisher
Korea Institute of Science and Technology Information (KISTI)
Date Issued
2023
Language
English
English Abstract
Abstract: This paper investigates an extended form Hurwitz-Lerch zeta function, as well as related integral images, ordinary and fractional derivatives, and series expansions, using the term extended beta function. We establish a connection between the extended Hurwitz-Lerch zeta function and the Laguerre polynomials. Furthermore, we present a probability distribution application of the extended Hurwitz-Lerch zeta function ζ𝛿,𝜇𝜈,λ. Several results, both known and new, are shown to follow as special cases of our findings.
Title of Periodical
Kyungpook Mathematical Journal
Member of
Issue published
Volume 63 Issue 3
Category
Article
Periodical Number
P/ISSN: 1225-6951, E/ISSN: 0454-8124