Results 1 to 10 of about 159,131 (200)

Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function [PDF]

Mathematics, 2022
The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric ...
Rahul Goyal, Praveen Agarwal, Georgia Irina Oros, Shilpi Jain   +3 more
doaj   +2 more sources

q,k-Generalized Gamma and Beta Functions [PDF]

Journal of Nonlinear Mathematical Physics, 2005
17 ...
Rafael Díaz, Carolina Teruel
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A New Extended Range of Modified Gamma and Beta Functions [PDF]

, 2023
This note introduces a new range of modified gamma and beta $k$ functions. The authors present new modified gamma and beta $k$-functions, first and second summation relations, various functionals, Mellin transforms, and integral representations. Furthermore, mean, variance and the moment generating function of a generalized beta distribution are ...
Shahid Mubeen, I. Aslam, Ghazi S. Khammsh, Ayman Shehata   +3 more
openalex   +3 more sources

Gamma function, Beta function and combinatorial identities

, 2001
9 ...
Toufik Mansour
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Somewhat (gamma,beta)-semicontinuous functions

Boletim da Sociedade Paranaense de Matemática, 2011
In this paper, some new classes of functions are introduce and studyby making use of gamma-semiopen sets and gamma-semiclosed sets.
Ennis Rosas, Carlos Carpintero, N. Rajesh   +2 more
openalex   +5 more sources

Uniform Asymptotic Expansions of the Incomplete Gamma Functions and the Incomplete Beta Function [PDF]

Mathematics of Computation, 1975
New asymptotic expansions are derived for the incomplete gamma functions and the incomplete beta function. In each case the expansion contains the complementary error function and an asymptotic series. The expansions are uniformly valid with respect to certain domains of the parameters.
N. M. Temme
openalex   +2 more sources

Some properties of k-gamma and k-beta functions [PDF]

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   +2 more sources

Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications [PDF]

Ingeniería y Ciencia, 2016
In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar, Sergio Alexander Gómez-Noguera, Arjun K Gupta   +2 more
doaj   +2 more sources

On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties

Journal of Mathematics
This paper intends to extend certain special functions from one complex variable to the bicomplex setting. Specifically, we define the k-bicomplex Gamma and k-bicomplex Beta functions.
Mohra Zayed, Ahmed Bakhet, Mohamed Fathi, Mohammed A. Saleem   +3 more
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On k-Gamma and k-Beta Distributions and Moment Generating Functions [PDF]

Journal of Probability and Statistics, 2014
The main objective of the present paper is to define k-gamma and k-beta distributions and moments generating function for the said distributions in terms of a new parameter k>0. Also, the authors prove some properties of these newly defined distributions.
Gauhar Rahman, Shahid Mubeen, Abdur Rehman, Mammona Naz   +3 more
doaj   +2 more sources