Results 11 to 20 of about 435,327 (305)

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

open access: diamondITM 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

A Study on Novel Extensions for the $p$-adic Gamma and $p$-adic Beta Functions

open access: greenMathematical and Computational Applications, 2019
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
openalex   +3 more sources

A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions [PDF]

open access: goldMathematical and Computational Applications, 2019
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
doaj   +2 more sources

FURTHER EXTENDED GAMMA AND BETA FUNCTIONS IN TERMS OF GENERALIZED WRIGHT FUNCTION

open access: greenمجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
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
doaj   +1 more source

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

open access: yesSahand 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   +3 more
doaj   +1 more source

A Note on the Theory of Gamma and Beta Functions

open access: yesEuropean Journal of Science and Technology, 2022
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
semanticscholar   +1 more source

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

open access: yesSahand 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   +2 more
doaj   +1 more source

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

open access: yesOpuscula 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

A class of completely monotonic functions involving the polygamma functions

open access: yesJournal 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
doaj   +1 more source

Some inequalities involving two generalized beta functions in n variables

open access: yesJournal 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
doaj   +1 more source

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