Results 11 to 20 of about 435,327 (305)
Some properties of k-gamma and k-beta functions [PDF]
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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A Study on Novel Extensions for the $p$-adic Gamma and $p$-adic Beta Functions
In this paper, we introduce the ρ , q -analog of the p-adic factorial function. By utilizing some properties of ρ , q -numbers, we obtain several new and interesting identities and formulas.
Uğur Duran, Mehmet Açıkgöz
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A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions [PDF]
In this paper, we introduce the ρ , q -analog of the p-adic factorial function. By utilizing some properties of ρ , q -numbers, we obtain several new and interesting identities and formulas. We then construct the p-adic ρ
Ugur Duran, Mehmet Acikgoz
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FURTHER EXTENDED GAMMA AND BETA FUNCTIONS IN TERMS OF GENERALIZED WRIGHT FUNCTION
The main objective of this paper is to introduce a new extension of extended Gamma and Beta functions in terms of generalized Wright function. Various properties of these extended functions are investigated such as integral representations, summation ...
Maisoon Ahmed Hussein Kulib +2 more
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Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
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 +3 more
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A Note on the Theory of Gamma and Beta Functions
Physics and engineering problems require a detailed knowledge of applied mathematics and an understanding of special functions such as gamma and beta functions.
Nihal Özdoğan
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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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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 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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