(n, k)-Multiple Factorials with Applications

Authors

  • Abdur Rehman Department of Mathematics, University of sargodha, Sargodha, Pakistan.
  • Shahid Mubeen Department of Mathematics, University of sargodha, Sargodha, Pakistan.
  • Muhammad Ozair Ahmad Department of Mathematics, University of Lahore, Lahore, Pakistan.
  • Sajid ur Rehman Siddiqi Department of Mathematics, Chenab College of Advance Studies, Faisalabad, Pakistan.

Keywords:

AMS (MOS) Subject Classification Codes, 35S29, 40S70, 25U09

Abstract

In this paper, we define (n, k) triple factorial and extend the definition up to a finite number of multi-factorials of the said type. We express the Pochhammer’s symbol and hypergeometric functions involving these factorials. Also, we express some elementary functions in the form of (n, k)!r satisfying the classical results. 

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Published

2017-08-31

Issue

Vol. 49 No. 2 (2017)

Section

Articles

How to Cite

(n, k)-Multiple Factorials with Applications. (2017). Punjab University Journal of Mathematics, 49(2), 1-11. https://pujm.pu.edu.pk/index.php/pujm/article/view/90