Results 11 to 20 of about 159,131 (200)

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

Mathematical 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

Some generalized inequalities involving extended beta and gamma functions for several variables

Journal of Inequalities and Applications
Recently, 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, I. Aslam, Ghazi S. Khammash, Saralees Nadarajah, Ayman Shehata   +4 more
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Extended matrix variate gamma and beta functions

Journal of Multivariate Analysis, 2013
The gamma and beta functions have been generalized in several ways. The multivariate beta and multivariate gamma functions due to Ingham and Siegel have been defined as integrals having the integrand as a scalar function of the real symmetric matrix.
Daya K. Nagar, Alejandro Roldán-Correa, Arjun K. Gupta   +2 more
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On some inequalities for Beta and Gamma functions via some classical inequalities

Journal of Inequalities and Applications, 2005
We improve several results recently established by Dragomir et al. in (2000) for the Gamma and Beta functions. All we need is some clever applications of classical inequalities.
Elezović N, Pečarić J, Agarwal RP   +2 more
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Beta and Gamma functions of Cayley-Dickson numbers

, 2004
11 ...
S. V. Lüdkovsky
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Directional convexity and characterizations of Beta and Gamma functions

, 2015
The logarithmic convexity of restrictions of the Beta functions to rays parallel to the main diagonal and the functional equation \[ \left( x+1\right) =\frac{x\left( x+k\right) }{\left( 2x+k+1\right) \left( 2x+k\right) } \left( x\right) ,\ \ \ \ \ \ x>0, \] for $k>0$ allow to get a characterizations of the Beta function. This fact and a notion
Martin Himmel, Janu sz Matkowski
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On (\alpha_{(\gamma, \gamma^{ })}, \alpha_{(\beta, \beta^{ })})-Functions

New Trends in Mathematical Science, 2018
Hariwan Z. Ibrahim
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Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]

Sahand 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, Asif R. Khan, Nazia Irshad, Sumbul Khatoon   +3 more
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Generalized Gamma, Beta and Hypergeometric Functions Defined by Wright Function and Applications to Fractional Differential Equations

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

Sahand 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, Rasoul Aghalary, Ali Ebadian   +2 more
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