[HTML][HTML] Extended k-gamma and k-beta functions of matrix arguments

GS Khammash, P Agarwal, J Choi - Mathematics, 2020 - mdpi.com
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 …

Some inequalities involving k-gamma and k-beta functions with applications - II

A Rehman, S Mubeen - Journal of Inequalities and Applications, 2014 - Springer
In this paper, we present some inequalities involving k-gamma and k-beta functions via
some classical inequalities, like Chebyshev's inequality for synchronous (asynchronous) …

Investigation of Extended k‐Hypergeometric Functions and Associated Fractional Integrals

M Abdalla, M Hidan, SM Boulaaras… - Mathematical Problems …, 2021 - Wiley Online Library
Hypergeometric functions have many applications in various areas of mathematical
analysis, probability theory, physics, and engineering. Very recently, Hidan et al.(Math …

Investigation of the k-analogue of Gauss hypergeometric functions constructed by the Hadamard product

M Abdalla, M Hidan - Symmetry, 2021 - mdpi.com
Traditionally, the special function theory has many applications in various areas of
mathematical physics, economics, statistics, engineering, and many other branches of …

On k‐Gamma and k‐Beta Distributions and Moment Generating Functions

G Rahman, S Mubeen, A Rehman… - Journal of Probability …, 2014 - Wiley Online Library
On k‐Gamma and k‐Beta Distributions and Moment Generating Functions Page 1 Research
Article On 𝑘-Gamma and 𝑘-Beta Distributions and Moment Generating Functions Gauhar …

[PDF][PDF] Contiguous function relations and an integral representation for Appell k-series

S Mubeen, S Iqbal, G Rahman - Int. J. Math. Res, 2015 - academia.edu
α α α α α Page 1 53 † Corresponding author © 2015 Conscientia Beam. All Rights Reserved.
CONTIGUOUS FUNCTION RELATIONS AND AN INTEGRAL REPRESENTATION FOR …

[PDF][PDF] Generating functions for k-hypergeometric functions

D Korkmaz-Duzgun, E Erkus-Duman - Int. J. Appl. Phys. Math, 2019 - ijapm.org
In mathematics, generating functions are important way to transform formal power series into
functions and to analyze asymptotic properties of sequences. On the other hand …

New generalizations of exponential distribution with applications

NA Rather, TA Rather - Journal of Probability and Statistics, 2017 - Wiley Online Library
The main purpose of this paper is to present k‐Generalized Exponential Distribution which
among other things includes Generalized Exponential and Weibull Distributions as special …

Composition Formulae for the k‐Fractional Calculus Operators Associated with k‐Wright Function

DL Suthar - Journal of Mathematics, 2020 - Wiley Online Library
In this article, the k‐fractional‐order integral and derivative operators including the k‐
hypergeometric function in the kernel are used for the k‐Wright function; the results are …

[PDF][PDF] Some results on a generalized hypergeometric k-functions

G Rahman, M Arshad, S Mubeen - Bull. Math. Anal. Appl, 2016 - emis.icm.edu.pl
In this paper, we define further generalized hypergeometric kfunctions, using a special case
of Wright hypergeometric function. Some of the differential properties, integral …