Certain Integral Representation and Fractional Derivatives Associated to a General Function Related to Hurwitz-Lerch Zeta Function
Year: 2025
Type: article
Abstract: In this paper, some integral representation and fractional derivatives of a general function are established. The general function studied in this paper unifies the Mittag-Leffler function and the Hurwitz-Lerch Zeta function. We have evaluated certain type of integrals involving the Mittag-Leffler function which gives the general function as resultant. As application of these results the integral representation and fractional derivatives for simpler function related to the Hurwitz-Lerch Zeta function are shown to be derived.
Author: B. B. Jaimini
Institutions: University of Kota, Government College Kota
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4414187600
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