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E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 20 No. 2 (2016)

q-Hypergeometric representations of the multiple Hurwitz Zeta function

  • Fadhle B. F. Mohsen Department of Mathematics, Faculty of Education, Aden University, Aden, Yemen
  • Fadhl S. Alsarahi Department of Mathematics, Faculty of Education, Aden University, Aden, Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 20 No. 2 (2016), 31-08-2016 Page 399-406

DOI:

https://doi.org/10.47372/uajnas.2016.n2.a14

Abstract

The basic hypergeometric series started essentially by Euler back in (1748) that emphasis on generating functions of partitions. Later, Gauss (1813) and Cauchy (1852) found several transformations and summations formulas related to basic hypergeometric series.
In this paper, the main goal is to introduce some new representations for the q-analogue of the multiple Hurwitz Zeta function are derived.
Keywords:
    multiple Hurwitz Zeta function, q-Hypergeometric series, q-shifted factorial

How to Cite

Mohsen, F. B. F., & Alsarahi, F. S. (2016). q-Hypergeometric representations of the multiple Hurwitz Zeta function. University of Aden Journal of Natural and Applied Sciences, 20(2), 399–406. https://doi.org/10.47372/uajnas.2016.n2.a14
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