Displaying similar documents to “Some Completely Monotonic Properties for the (p, g)-Gamma Function”

Some monotonicity and limit results for the regularised incomplete gamma function

Wojciech Chojnacki (2008)

Annales Polonici Mathematici

Similarity:

Letting P(u,x) denote the regularised incomplete gamma function, it is shown that for each α ≥ 0, P(x,x+α) decreases as x increases on the positive real semi-axis, and P(x,x+α) converges to 1/2 as x tends to infinity. The statistical significance of these results is explored.

Properties of k-beta function with several variables

Abdur Rehman, Shahid Mubeen, Rabia Safdar, Naeem Sadiq (2015)

Open Mathematics

Similarity:

In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension of k-beta function of two variables, recently defined by Diaz and Pariguan [4]. Also, we extend the formula Γk(2z) proved by Kokologiannaki [5] via properties of k-beta function.