Analytic Continuation of the Extended Hurwitz-Lerch Zeta Function
DOI:
https://doi.org/10.5644/SJM.09.2.01Keywords:
Generalized Hurwitz-Lerch Zeta function, Fox--Wright $\Psi^*$-function, hypergeometric ${}_pF_q$ functionAbstract
The object of this paper is to investigate the analytic continuation and asymptotic expansions for families of the generalized Hurwich-Lerch Zeta functions defined by Srivastava et al. The result obtained is of general character and includes, as special cases, in the same fashion results about the Gauss hypergeometric function, the generalized hypergeometric function and for Fox-Wright function given earlier by Kilbas et al. and others.
2010 Mathematics Subject Classification. 11M35, 33C20, 33C60
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References
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