On a connection between formulas about q–gamma functions. Issue 3 (2nd July 2016)

• Record Type: Journal Article
• Authors: Koepf, Wolfram; Rajković, Predrag M.; Marinković, Sladjana D.
• Is Part Of: Journal of nonlinear mathematical physics. Volume 23:Issue 3(2016)
• Page Start: 343
• Page End: 350
• Publication Date: 2016-07-02
• Subjects: q–Gamma function -- asymptotic expansion -- boundary functions; 33D05 -- 11A67; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2016.1199496
• Languages: English
• ISSNs: 1402-9251

Abstract

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.