On a connection between formulas about q-gamma functions

被引:0
|
作者
Koepf, Wolfram [1 ]
Rajkovic, Predrag M. [2 ]
Marinkovic, Sladjana D. [3 ]
机构
[1] Univ Kassel, Dept Math & Comp Sci, Heinrich Plett Str 40, D-34132 Kassel, Germany
[2] Univ Nis, Fac Mech Engn, Dept Math, A Medvedeva 14, Nish 18000, Serbia
[3] Univ Nis, Fac Elect Engn, Dept Math, A Medvedeva 14, Nish 18000, Serbia
关键词
q-Gamma function; asymptotic expansion; boundary functions;
D O I
10.1080/14029251.2016.1199496
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:343 / 350
页数:8
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