On Multiple Zeta Function and Associated Properties

eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-05-28 6 3 84 89 10.12691/tjant-6-3-3 TJANT2018633 article On Multiple Zeta Function and Associated Properties Maged G. Bin-Saad mgbinsaad@yahoo.com 1 M. A. Pathan 2 Ali Z. Bin-Alhag 2 Department of Mathematics, Aden University, Aden, Kohrmaksar, P. O. Box 6014, Yemen Centre for Mathematical and statistical Sciences (CMSS), KFRI, Peechi P.O., Thrissur, Kerala-680653, India 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. http://pubs.sciepub.com/tjant/6/3/3/tjant-6-3-3.pdf multi-variable zeta functions Hurwitz-Lerch Zeta function Hyper-geometric function Lauricella functions Summation formula expansion formulas