Volume 23, Issue 3, June 2016, Pages 343 - 350
On a connection between formulas about q–gamma functions
Authors
Wolfram Koepf
Department of Mathematics and Computer Science, University of Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany,koepf@mathematik.uni-kassel.de
Predrag M. Rajković
Department of Mathematics, Faculty of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18 000 Niš, Serbia,pedja.rajk@yahoo.com
Sladjana D. Marinković
Department of Mathematics, Faculty of Electronic Engineering, University of Niš, A. Medvedeva 14, 18 000 Niš, Serbia,sladjana.marinkovic@elfak.ni.ac.rs
Received 8 April 2016, Accepted 13 April 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1199496How to use a DOI?
- Keywords
- q–Gamma function; asymptotic expansion; boundary functions
- Abstract
In this short communication, we want to pay attention to a few wrong formulas which are unfortunately cited and used in a dozen papers afterwards. We prove that the provided relations and asymptotic expansion about the q-gamma function are not correct. This is illustrated by numerous concrete counterexamples. The error came from the wrong assumption about the existence of a parameter which does not depend on anything. Here, we apply a similar procedure and derive a correct formula for the q-gamma function.
- Copyright
- © 2016 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Wolfram Koepf AU - Predrag M. Rajković AU - Sladjana D. Marinković PY - 2021 DA - 2021/01/06 TI - On a connection between formulas about q–gamma functions JO - Journal of Nonlinear Mathematical Physics SP - 343 EP - 350 VL - 23 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1199496 DO - 10.1080/14029251.2016.1199496 ID - Koepf2021 ER -