Results 11 to 20 of about 166,522 (267)

Duality for convolution on subclasses of analytic functions and weighted integral operators

open access: yesDemonstratio Mathematica, 2023
In this article, we investigate a class of analytic functions defined on the unit open disc U={z:∣z∣0\alpha \gt 0, 0≤β≤10\le \beta \le 1 ...
Amini Ebrahim   +3 more
doaj   +1 more source

ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS

open access: yesMalaysian Journal of Computing, 2021
Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
doaj   +1 more source

Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function

open access: yesMathematics, 2022
The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric ...
Rahul Goyal   +3 more
doaj   +1 more source

New Modified Gamma and Beta Functions

open access: yes, 2023
This note introduces a new range of modified gamma and beta $k$ functions. The authors present new modified gamma and beta $k$-functions, first and second summation relations, various functionals, Mellin transforms, and integral representations. Furthermore, mean, variance and the moment generating function of a generalized beta distribution are ...
Mubeen, S   +4 more
openaire   +2 more sources

A Note on Sequence of Functions associated with the Generalized Jacobi polynomial

open access: yesResearches in Mathematics, 2023
An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function ...
D. Waghela, S.B. Rao
doaj   +1 more source

Differential inequalities for spirallike and strongly starlike functions

open access: yesAdvances in Difference Equations, 2021
In this paper, by using a technique of the first-order differential subordination, we find several sufficient conditions for an analytic function p such that p ( 0 ) = 1 $p(0)=1$ to satisfy Re { e i β p ( z ) } > γ $\operatorname{Re}\{ {\mathrm{e ...
Nak Eun Cho, Oh Sang Kwon, Young Jae Sim
doaj   +1 more source

New extension of beta, Gauss and confluent hypergeometric functions

open access: yesCumhuriyet Science Journal, 2021
There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar   +1 more
doaj   +1 more source

A sharp Remez type inequalities for the functions with asymmetric restrictions on the oldest derivative

open access: yesResearches in Mathematics, 2023
For odd $r\in \mathbb{N}$; $\alpha, \beta >0$; $p\in [1, \infty]$; $\delta \in (0, 2 \pi)$, any $2\pi$-periodic function $x\in L^r_{\infty}(I_{2\pi})$, $I_{2\pi}:=[0, 2\pi]$, and arbitrary measurable set $B \subset I_{2\pi},$ $\mu B \leqslant \delta ...
V.A. Kofanov, A.V. Zhuravel
doaj   +1 more source

q-Gamma and q-Beta Functions [PDF]

open access: yes, 2002
Being related to solutions of special types of differential equations, many important functions in analysis are defined in terms of definite integrals.
Victor Kac, Pokman Cheung
openaire   +1 more source

Some Results on the Extended Hypergeometric Matrix Functions and Related Functions

open access: yesJournal of Mathematics, 2021
In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions.
Mohamed Abdalla   +2 more
doaj   +1 more source

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