Hypergeometric type extended bivariate zeta function

Main Article Content

M. A. Pathan
Mohannad Shahwan
Maged Gumman Bin-Saad


Based on the generalized extended beta function, we shall introduce and study a new hypergeometric-type extended zeta function together with related integral representations, differential relations, finite sums, and series expansions. Also, we present a relationship between the extended zeta function and the Laguerre polynomials. Our hypergeometric type extended zeta function involves several known zeta functions including the Riemann, Hurwitz, Hurwitz-Lerch, and Barnes zeta functions as particular cases.

Article Details

How to Cite
Pathan, M. A., Shahwan, M., & Bin-Saad, M. G. (2024). Hypergeometric type extended bivariate zeta function. Tamkang Journal of Mathematics, 55(1), 79–95. https://doi.org/10.5556/j.tkjm.55.2024.5120
Author Biography

Maged Gumman Bin-Saad, Aden university, Dept. Math

Math Dep


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