Year: 2020
Type: preprint
Abstract: Recently, the degenerate gamma functions are introduced as a degenerate version of the usual gamma function by Kim-Kim. In this paper, we investigate several properties of them. Namely, we obtain an analytic continuation as a meromorphic function on the whole complex plane,the difference formula, the values at positive integers, some expressions following from the Weierstrass and Euler formulas for the usual gamma function and an integral representation as the integral along a Hankel contour.
Source: arXiv (Cornell University)
Authors: Kim, Taekyun, Kim, Dae san
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3008064732