On Fractional derivative of Hurwitz Zeta function and Jacobi Theta function

Autor:	Mor, Ashish, Gupta, Surbhi, Kashyap, Manju
Rok vydání:	2023
Předmět:	Mathematics - Classical Analysis and ODEs 26A33 32A15 11F27 11M35 34K37
Druh dokumentu:	Working Paper
Popis:	This research paper focuses on exploring two Complex-valued function's fractional derivative, specifically the Hurwitz Zeta function and Jacobi theta function. The study is based on the Complex Generalization of Grunwald-Letnikov Fractional derivative which adheres to the generalized version of the Leibniz rule. Within this paper, we present and establish an identity that serves as a Generalization of the Hurwitz Zeta function's Functional Equation. Additionally, we derive the Jacobi Theta function's Functional Equation, accompanied by a comprehensive examination of the properties associated with the Fractional derivative of these two functions. Comment: 19 pages, Few Typos Have been Corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.16942 Zobrazit plný text záznamu View this record from Arxiv