Volume 13, Issue 4, November 2006, Pages 479 - 483
An asymptotic expansion of the q-gamma function q(x)
Authors
M. Mansour
Corresponding Author
M. Mansour
Received 20 February 2006, Accepted 5 June 2006, Available Online 1 November 2006.
- DOI
- 10.2991/jnmp.2006.13.4.2How to use a DOI?
- Abstract
In this paper, we get an asymptotic expansion of the q-gamma function q(x). Also, we deduced q-analogues of Gauss' multiplication formula and Legendre's relation which give the known results when q tends to 1.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - M. Mansour PY - 2006 DA - 2006/11/01 TI - An asymptotic expansion of the q-gamma function q(x) JO - Journal of Nonlinear Mathematical Physics SP - 479 EP - 483 VL - 13 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2006.13.4.2 DO - 10.2991/jnmp.2006.13.4.2 ID - Mansour2006 ER -