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Note on the Degenerate Gamma Function
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-09-01 , DOI: 10.1134/s1061920820030061 T. Kim , D. S. Kim
中文翻译:
关于简并伽玛函数的注意
更新日期:2020-09-01
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-09-01 , DOI: 10.1134/s1061920820030061 T. Kim , D. S. Kim
Abstract
Recently, the degenerate gamma functions were introduced as a degenerate version of the usual gamma function. In this paper, we investigate several properties of these functions. 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 ordinary gamma function, and an integral representation as an integral along a Hankel contour.中文翻译:
关于简并伽玛函数的注意