论文标题
在退化伽马功能上
On degenerate gamma functions
论文作者
论文摘要
最近，金正日将退化的伽马函数作为平时伽马函数的退化版本。在本文中，我们研究了它们的几种属性。也就是说，我们在整个复合平面上获得了分析延续，作为差异公式，正整数处的值，从WeierStrass和Euler公式下进行的一些表达式，用于常规伽马函数，以及沿Hankel Count的积分表示的积分表示。
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.
