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Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function
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 +3 more
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q -Gamma and q -beta functions in quantum algebra representation theory
Integral representations and addition formulas for the q-generalizations of the gamma and beta functions are obtained by studying function space models of a simple quantum algebra.
R. Floreanini, L. Vinet
semanticscholar +3 more sources
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
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On Some Properties of Log-Harmonic Functions Product [PDF]
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 +2 more
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On some classes of meromorphic functions defined by subordination and superordination [PDF]
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
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Some inequalities involving two generalized beta functions in n variables
The beta and gamma functions have recently seen several developments and various extensions because of their nice properties and interesting applications. The contribution of this paper falls within this framework.
Mustapha Raïssouli, Salma I. El-Soubhy
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A class of completely monotonic functions involving the polygamma functions
Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
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Some Characterizations of the Extended Beta and Gamma Functions: Properties and Applications
The article represents the elementary and general introduction of some characterizations of the extended gamma and beta Functions and their important properties with various representations.
Bachioua Lahcene
semanticscholar +1 more source
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 +3 more
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Quantifying alpha, beta and gamma geodiversity
Geodiversity is an emerging, multi-faceted concept in Earth and environmental sciences. Knowledge on geo-diversity is crucial for understanding functions of natural systems and in guiding sustainable development.
H. Tukiainen +9 more
semanticscholar +1 more source

