Results 31 to 40 of about 10,247 (97)

An inequality for the product of two integrals relating to the incomplete gamma function

Journal of Inequalities and Applications, 2000
The inequality is proved for and , and new inequalities are established for the integrals and , .
Laforgia Andrea, Elbert Árpád
doaj  

REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION

Проблемы анализа, 2015
In the note, the authors give several remarks on the paper in "Chen and Haigang Zhou On completely monotone of an arbitrary real parameter function involving the gamma function. Applied Mathematics and Compulation, 2014, vol. 242, pp.
F. Qi, B. N. Guo
doaj  

A Double Inequality for Gamma Function

Journal of Inequalities and Applications, 2009
Using the Alzer integral inequality and the elementary properties of the gamma function, a double inequality for gamma function is established, which is an improvement of Merkle's inequality.
Xiaoming Zhang, Yuming Chu
doaj   +2 more sources

Some Representations of the Modified Degenerate Gamma Matrix Function [PDF]

Sahand Communications in Mathematical Analysis
The main goal of this article is to extend the concept of special matrix functions through the study of modified degenerate Gamma matrix function. For this, the modified degenerate Gamma matrix function has been introduced and some of its properties have
İnci Ege, Kwara Nantomah
doaj   +1 more source

On the integral operators pertaining to a family of incomplete I-functions

AIMS Mathematics, 2020
This paper introduces a new incomplete I-functions. The incomplete I-function is an extension of the I-function given by Saxena [1] which is a extension of a familiar Fox’s H-function. Next, we find the several interesting classical integral transform of
Manish Kumar Bansal, Devendra Kumar
doaj   +1 more source

Some properties of k-gamma and k-beta functions

ITM Web of Conferences, 2016
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.
Wang Wu-Sheng
doaj   +1 more source

Two Approximation Formulas for Gamma Function with Monotonic Remainders

Mathematics
In this paper, two new approximation formulas with monotonic remainders for the gamma function have been presented. Also, we present some numerical comparisons between our new approximation formulas and some known ones, which demonstrate the superiority ...
Mansour Mahmoud, Hanan Almuashi
doaj   +1 more source

Van der Pol’s expressions for the gamma function [PDF]

, 1958
T. S. Nanjundiah
openalex   +1 more source

Incomplete Gamma functions for evaluating Erlang process probabilities [PDF]

, 1963
John R. B. Whittlesey
openalex   +2 more sources

Parameterized Finite Binomial Sums

Mathematics
We offer intriguing new insights into parameterized finite binomial sums, revealing elegant identities such as ∑k=0,k≠nm+n(−1)kn−km+nk=(−1)nm+nn(Hm−Hn), where n,m are non-negative integers and Hn is the harmonic number. These formulas beautifully capture
Necdet Batır, Junesang Choi
doaj   +1 more source