Recently various extensions of Hurwitz-Lerch Zeta functions have been investigated. Here, we first introduce a further generalization of the extended Hurwitz-Lerch Zeta functions. Then we investigate certain interesting and (potentially) useful properties, systematically, of the generalization of the extended Hurwitz-Lerch Zeta functions, for example, various integral representations, Mellin transform, generating functions and extended fractional derivatives formulas associated with these extended generalized Hurwitz-Lerch Zeta functions. An application to probability distributions is further considered. Some interesting special cases of our main results are also pointed out.
@article{31842,
title = {Further Generalization of the Extended Hurwitz-Lerch Zeta Functions},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {37},
year = {2017},
doi = {10.5269/bspm.v37i1.31842},
language = {EN},
url = {http://dml.mathdoc.fr/item/31842}
}
Parmar, Rakesh K.; Choi, Junesang; Purohit, Sunil Dutt. Further Generalization of the Extended Hurwitz-Lerch Zeta Functions. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i1.31842. http://gdmltest.u-ga.fr/item/31842/