We define the incomplete gamma function ratio for positive N by \begin{align*}\tag{1}P(N, b, X) &= \int^X_0 t^{N-1}e^{-bt} dt/ \int^\infty_0 t^{N-1}e^{-bt} dt ...

In this paper, we present a very accurate approximation for the gamma function: [Formula: see text] as [Formula: see text], and we prove that the function [Formula: see text] is strictly decreasing ...

In this paper, we present a new representation of gamma function as a series of complex delta functions. We establish the convergence of this representation in the sense of distributions. It turns out ...

Anderson and Qiu (1997) conjectured that the function log Γ (x+1)/x log x is concave for x > 1. In this paper we prove this conjecture. We also study the monotonicity of some functions connected with ...

Abstract: Aiming at the low reading accuracy of the substation pointer meter caused by illumination and shooting angle, an accurate reading algorithm based on improved 2-D gamma function and ...

Your brain is a busy place. Brain waves are, essentially, the evidence of electrical activity produced by your brain. When a group of neurons sends a burst of electrical pulses to another group of ...