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Extended k-Gamma and k-Beta Functions of Matrix Arguments

Mathematics, 2020
Various k-special functions such as k-gamma function, k-beta function and k-hypergeometric functions have been introduced and investigated. Recently, the k-gamma function of a matrix argument and k-beta function of matrix arguments have been presented ...
Ghazi S. Khammash, Praveen Agarwal, Junesang Choi   +2 more
doaj   +4 more sources

Extension of gamma, beta and hypergeometric functions [PDF]

Journal of Computational and Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Ali Özarslan, Abdullah Altin
exaly   +6 more sources

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

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   +3 more sources

Some properties of Gamma and Beta matrix functions

Applied Mathematics Letters, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucas Jódar
exaly   +3 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
doaj   +2 more sources

Extended matrix variate gamma and beta functions

Journal of Multivariate Analysis, 2013
The paper presents preliminaries involving functions of an matrix argument in order to prepare an apparatus for a matrix variate distribution theory. As an illustration the probability density function of the sum in Theorem 6.1 is found. In Theorem 6.2 the expected value involving two independent random matrices is derived.
Alejandro Roldán-Correa, Daya Nagar
exaly   +3 more sources

Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan, Asif R. Khan, Nazia Irshad, Sumbul Khatoon   +3 more
doaj   +1 more source

Generalized Gamma, Beta and Hypergeometric Functions Defined by Wright Function and Applications to Fractional Differential Equations

Cumhuriyet Science Journal, 2022
When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
Enes Ata, İ. Onur Kıymaz
doaj   +1 more source

On Some Properties of Log-Harmonic Functions Product [PDF]

Sahand Communications in Mathematical Analysis, 2022
In this paper we define a new subclass $S_{LH}(k, \gamma; \varphi)$ of log-harmonic mappings, and then basic properties such as dilations, convexity on one direction and convexity of log functions of convex- exponent product of elements of that class are
Mehri Alizadeh, Rasoul Aghalary, Ali Ebadian   +2 more
doaj   +1 more source

On some classes of meromorphic functions defined by subordination and superordination [PDF]

Opuscula Mathematica, 2011
Let \(p\in \mathbb{N}^*\) and \(\beta,\gamma\in \mathbb{C}\) with \(\beta\neq 0\) and let \(\Sigma_p\) denote the class of meromorphic functions of the form \(g(z)=\frac{a_{-p}}{z^p}+a_0+a_1 z+\ldots,\,z\in \dot U\), \(a_{-p}\neq 0\).
Alina Totoi
doaj   +1 more source