|
|||||
|
|
On asymptotics of the q-exponential and q-gamma functions |
|
| Authors: | Ruiming Zhang |
| Institution: | Institute of Applied Mathematics, College of Science, Northwest A&F University, Yangling, Shaanxi 712100, PR China |
| Abstract: | In this work we present a derivation for the complete asymptotic expansions of Euler?s q-exponential function and Jackson?s q-gamma function via Mellin transform. These formulas are valid everywhere, uniformly on any compact subset of the complex plane. |
| Keywords: | Riemann zeta function Hurwitz zeta function Euler?s gamma function Euler?s q-exponential function Jackson?s q-gamma function |
| 本文献已被 ScienceDirect 等数据库收录！ | |