Generating functions and integral representations of multivariable Hurwitz-Lerch zeta function
Multivariable Hurwitz-Lerch zeta function
Keywords:
Hurwitz-Lerch zeta function (HLZF), beta function, integral representations and generating functions.Abstract
In this paper, we have introduced multivariable extension of the Hurwitz-Lerch zeta function (MVHLZF) using the recently introduced beta function. Further, we have derived its integral representations and generating functions. In view of the extensive applications of the Hurwitz–Lerch zeta functions, the results obtained in the present work are expected to find relevance in several related areas of mathematical research.
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