Results 11 to 20 of about 187,405 (281)
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 +3 more
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Some properties of k-gamma and k-beta functions
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
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Some generalized inequalities involving extended beta and gamma functions for several variables
Journal of Inequalities and ApplicationsRecently, extensions of the gamma and beta functions have been studied due to their appealing properties and wide range of applications in various scientific fields. This note aims to investigate generalized inequalities associated with the extended beta
S. Mubeen +4 more
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Inequalities for Beta and Gamma Functions Via Some Classical and New Integral Inequalities [PDF]
, 1999 In this survey paper we present the natural application of certain integral inequalities such as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's inequality and Gruss' and Ostrowski's inequalities for the celebrated Euler's ...
Agarwal, R. P +2 more
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More properties of $(\beta,\gamma)$-Chebyshev functions and points [PDF]
, 2023 Recently, $(\beta,\gamma)$-Chebyshev functions, as well as the corresponding zeros, have been introduced as a generalization of classical Chebyshev polynomials of the first kind and related roots. They consist of a family of orthogonal functions on a subset of $[-1,1]$, which indeed satisfies a three-term recurrence formula.
De Marchi, Stefano +3 more
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A class of completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2022 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 inequalities involving two generalized beta functions in n variables
Journal of Inequalities and Applications, 2021 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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q,k-Generalized Gamma and Beta Functions [PDF]
Journal of Nonlinear Mathematical Physics, 2005 We introduce the q,k-generalized Pochhammer symbol. We construct $Γ_{q,k}$ and $B_{q,k}$, the q,k-generalized gamma and beta fuctions, and show that they satisfy properties that generalize those satisfied by the classical gamma and beta functions. Moreover, we provide integral representations for $Γ_{q,k}$ and $B_{q,k}.$
Díaz, Rafael, Teruel, Carolina
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Some Integrals Connected with a New Quadruple Hypergeometric Series
Universal Journal of Mathematics and Applications, 2020 Hypergeometric function of four variables was introduced by Bin-Saad and Younis. In the present paper a new integral representations of of Euler-type and Laplace-type involving double and triple hypergeometric series for these functions are derived.
Jihad Younis, Maged Bin-saad
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Duality for convolution on subclasses of analytic functions and weighted integral operators
Demonstratio Mathematica, 2023 In this article, we investigate a class of analytic functions defined on the unit open disc U={z:∣z∣0\alpha \gt 0, 0≤β≤10\le \beta \le 1 ...
Amini Ebrahim +3 more
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