This analysis shows fractional derivatives and integral representations in functions related to the Hurwitz-Lerch Zeta function, indicating mathematical applications.
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.
No takes yet. Share an insight, caveat, or question.
B. B. Jaimini (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: