Results 11 to 20 of about 379,757 (307)

Tables of the Incomplete Gamma-Function [PDF]

Nature, 2013
K. Pearson
semanticscholar   +2 more sources

A More Flexible Extension of the Fréchet Distribution Based on the Incomplete Gamma Function and Applications

Symmetry, 2023
In this paper, a more flexible extension of the Fréchet distribution is introduced. The new distribution is defined by means of the stochastic representation as the quotient of two independent random variables, a Fréchet distribution and the power of a ...
J. Castillo, Mario A. Rojas, Jimmy Reyes
semanticscholar   +1 more source

Landmark Computation of the Incomplete Gamma Function

Journal of Geolocation Geo-information and Geo-intelligence, 2022
function distribution of the first kind (GBFD1K). The landmark computation of the RIGF depicts that the landmark RIGF is in fact an integration of the exponential function with a more complicated exponent; therefore, the convergence of the power series ...
I. Progri
semanticscholar   +1 more source

Exact lower and upper bounds on the incomplete gamma function [PDF]

Mathematical Inequalities & Applications, 2020
Lower and upper bounds $B_a(x)$ on the incomplete gamma function $\Gamma(a,x)$ are given for all real $a$ and all real $x>0$. These bounds $B_a(x)$ are exact in the sense that $B_a(x)\underset{x\downarrow0}\sim\Gamma(a,x)$ and $B_a(x)\underset{x\to\infty}
I. Pinelis
semanticscholar   +1 more source

A Note on the Summation of the Incomplete Gamma Function

Symmetry, 2021
We examine the improved infinite sum of the incomplete gamma function for large values of the parameters involved. We also evaluate the infinite sum and equivalent Hurwitz-Lerch zeta function at special values and produce a table of results for easy ...
Robert Reynolds, Allan Stauffer
semanticscholar   +1 more source

ON THE INCOMPLETE GAMMA FUNCTION

International Journal of Apllied Mathematics, 2014
Mongkolsery Lin, B. Fisher, S. Orankitjaroen   +2 more
semanticscholar   +2 more sources

On the Matrix Versions of Incomplete Extended Gamma and Beta Functions and Their Applications for the Incomplete Bessel Matrix Functions

Complexity, 2021
In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou, Mimi Yu, Ahmed Bakhet, Fuli He   +3 more
doaj   +1 more source

Definite Integral of Exponential Polynomial and Hyperbolic Function in terms of the Incomplete Gamma Function

European Journal of Pure and Applied Mathematics, 2021
This current paper is a table of definite integrals involving hyperbolic and logarithmic functions expressed in terms of the incomplete gamma function and fundamental constants. All the results in this work are new.
Robert Reynolds, Allan Stauffer
semanticscholar   +1 more source

Some expansion formulas for incomplete H- and H̅-functions involving Bessel functions

Advances in Difference Equations, 2020
In this paper, we assess an integral containing incomplete H-functions and utilize it to build up an expansion formula for the incomplete H-functions including the Bessel function.
Sapna Meena, Sanjay Bhatter, Kamlesh Jangid, Sunil Dutt Purohit   +3 more
doaj   +1 more source

Some generalised extended incomplete beta functions and applications

Journal of New Results in Science, 2022
This paper introduces generalised incomplete beta functions defined by the generalised beta function. Firstly, we provide some of the generalised beta function's basic properties, such as integral representations, summation formulas, Mellin transform ...
Ayşegül Çetinkaya, İ. Onur Kıymaz, Recep Şahin, Oğuz Yağcı   +3 more
doaj   +1 more source