Generating functions and integral representations of multivariable Hurwitz-Lerch zeta function: Multivariable Hurwitz-Lerch zeta function

Bhausaheb Shankar Desale; Ganesh Subhash Kadu

doi:10.26713/cma.v17i2.3504

Generating functions and integral representations of multivariable Hurwitz-Lerch zeta function

Multivariable Hurwitz-Lerch zeta function

Authors

Bhausaheb Shankar Desale Department of Mathematics, University of Mumbai, Mumbai-400098, India https://orcid.org/0000-0002-4344-2306
Ganesh Subhash Kadu Department of Mathematics, ACS College, Lanja https://orcid.org/0009-0001-8671-712X

DOI:

https://doi.org/10.26713/cma.v17i2.3504

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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Published

June 30, 2026

Issue

Vol. 17 No. 2 (2026)

Section

Research Article

License

Creative Commons Licence 4.0

How to Cite

Bhausaheb Shankar Desale, & Ganesh Subhash Kadu. (2026). Generating functions and integral representations of multivariable Hurwitz-Lerch zeta function: Multivariable Hurwitz-Lerch zeta function. Communications in Mathematics and Applications, 17(2). https://doi.org/10.26713/cma.v17i2.3504