On Multiple Zeta Function and Associated Properties

Maged G. Bin-Saad^1, , M. A. Pathan² and Ali Z. Bin-Alhag¹

¹Department of Mathematics, Aden University, Aden, Kohrmaksar, P. O. Box 6014, Yemen

²Centre for Mathematical and statistical Sciences (CMSS), KFRI, Peechi P.O., Thrissur, Kerala-680653, India

Cite this paper:
Maged G. Bin-Saad, M. A. Pathan and Ali Z. Bin-Alhag. On Multiple Zeta Function and Associated Properties. Turkish Journal of Analysis and Number Theory. 2018; 6(3):84-89. doi: 10.12691/tjant-6-3-3

Abstract

The purpose of this paper is to introduce and investigate a new class of multiple zeta functions of variables. We study its properties, integral representations, differential relation, series expansion and discuss the link with known results.

Keywords:
multi-variable zeta functions Hurwitz-Lerch Zeta function Hyper-geometric function Lauricella functions Summation formula expansion formulas

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