Results 21 to 30 of about 170,209 (319)

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

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 fractional calculus findings associated with the incomplete I-functions

Advances in Difference Equations, 2020
In this article, several interesting properties of the incomplete I-functions associated with the Marichev–Saigo–Maeda (MSM) fractional operators are studied and investigated.
Kamlesh Jangid, Sanjay Bhatter, Sapna Meena, Dumitru Baleanu, Maysaa Al Qurashi, Sunil Dutt Purohit   +5 more
doaj   +1 more source

Photocatalytic degradation as Davidson–Cole relaxation in time domain [PDF]

Journal of Advanced Dielectrics, 2019
Photocatalytic degradation processes of different materials are fitted with Mittag-Leffler function and incomplete gamma function, which are response functions for Cole–Cole relaxation and Davidson–Cole relaxation.
C. L. WANG
doaj   +1 more source

Definite Integral of Logarithmic Functions in Terms of the Incomplete Gamma Function

Mathematics, 2021
In this article we derive some entries and errata for the book of Gradshteyn and Ryzhik which were originally published by Bierens de Haan. We summarize our results using tables for easy reading and referencing.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

Tables of the Incomplete Gamma-Function [PDF]

Nature, 1922
Karl Pearson
openalex   +2 more sources

Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters [PDF]

, 1996
We consider the asymptotic behavior of the incomplete gamma functions gamma(-a,-z) and Gamma(-a,-z) as a goes to infinity. Uniform expansions are needed to describe the transition area z~a in which case error functions are used as main approximants.
Temme, Nico M.
core   +3 more sources

More Special Functions Trapped [PDF]

, 2012
We extend the technique of using the Trapezoidal Rule for efficient evaluation of the Special Functions of Mathematical Physics given by integral representations.
Schwartz, Charles
core   +2 more sources

Основные свойства обобщенных гамма-функций [PDF]

, 2016
Проблематика. Стаття присвячена вивченню основних властивостей нових узагальнених гамма-функцій, узагальнених неповних гамма-функцій, узагальнених дігамма-функцій для їх кращого застосування у прикладних науках, для обчислення інтегралів, відсутніх у ...
Virchenko, N. O., Вирченко, Н. А., Вірченко, Ніна Опанасівна   +2 more
core   +1 more source

Some New Results for the $\mathscr{M}$-Transform Involving the Incomplete $I$-Functions [PDF]

Sahand Communications in Mathematical Analysis
Integral transformations are crucial for solving a variety of actual issues. The right choice of integral transforms aids in simplifying both integral and differential problems into a solution-friendly algebraic equation.
Sanjay Bhatter, Nishant -, Sunil Purohit
doaj   +1 more source