ITM Web Conf.
Volume 7, 20163rd Annual International Conference on Information Technology and Applications (ITA 2016)
|Number of page(s)||6|
|Section||Session 7: Modeling and Performance Analysis|
|Published online||21 November 2016|
Some properties of k-gamma and k-beta functions
School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi, 546300, P.R. China
In this paper, firstly, we introduce the several definitions of classic gamma function and beta function, and the several definitions of k-gamma function and k-beta function. Secondly, we discuss the relations between the several definitions and properties of gamma function, beta function, k-gamma function and k-beta function. Finally, we prove these properties by mathematical induction and integral transformation method.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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