On Quasi-Gamma Functions

作者：Bermudez Teresa^*; Martinon Antonio; Sadarangani Kishin

来源：Journal of Convex Analysis, 2014, 21(3): 765-783.

• Gamma function
• quasi-gamma function
• quasi-convex function

We define the quasi-gamma functions as the functions f :]0, infinity[-%26gt;]0, infinity[ such that f(1) = 1, f(x + 1) = x f(x) for every x %26gt; 0, and f is quasi-convex. The main example of quasi-gamma function is the gamma function defined by Euler. We study some properties of the quasi-gamma functions and of the class Q of these functions.

• 出版日期2014