Results 21 to 30 of about 164,716 (305)

Estimates of Gamma and Beta Functions [PDF]

open access: diamondTamap Journal of Mathematics and Statistics, 2019

openalex   +2 more sources

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

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

open access: yesCumhuriyet 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]

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

Certain subclass of analytic functions based on q-derivative operator associated with the generalized Pascal snail and its applications

open access: yesAIMS Mathematics, 2022
By the principle of differential subordination and the $ q $-derivative operator, we introduce the $ q $-analog $ \mathcal{SP}^{q}_{snail}(\lambda; \alpha, \beta, \gamma) $ of certain class of analytic functions associated with the generalized Pascal ...
Pinhong Long   +3 more
doaj   +1 more source

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

open access: yesMathematics, 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   +2 more
doaj   +1 more source

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