Results 31 to 40 of about 164,716 (305)
Some Integrals Connected with a New Quadruple Hypergeometric Series
Universal Journal of Mathematics and Applications, 2020 Hypergeometric function of four variables was introduced by Bin-Saad and Younis. In the present paper a new integral representations of of Euler-type and Laplace-type involving double and triple hypergeometric series for these functions are derived.
Jihad Younis, Maged Bin-saad
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Complexity, 2021 In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou +3 more
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian 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
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Duality for convolution on subclasses of analytic functions and weighted integral operators
Demonstratio 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
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Region of variablity for Bazilevic functions
AIMS Mathematics, 2023 Let $ \mathcal{H} $ be the family of analytic functions defined in an open unit disk $ \mathbb{U = }\left \{ z:|z| < 1\right \} $ and $ \mathcal{A} = \left \{ f\in \mathcal{H}:f(0) = f^{^{\prime}}(0)-1 = 0, { \ \ \ \ \ }(z\in \mathbb{U})
Syed Zakar Hussain Bukhari +3 more
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Differential inequalities for spirallike and strongly starlike functions
Advances 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
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AIMS Mathematics, 2022 In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by $ \mathcal F_{\left(\beta,\gamma\right)} \bigg(\alpha,\delta,\mu,H\big(z,C_{n}^{\left(\lambda \right)} \left(t\right)\big)\bigg), $ satisfying ...
H. M. Srivastava +2 more
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A Note on Sequence of Functions associated with the Generalized Jacobi polynomial
Researches 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
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Communications in Analysis and Mechanics, 2023 In this paper, we consider a Schrödinger operator $ L = -\Delta_{\mathbb{H}}+V $ on the stratified Lie group $ \mathbb{H} $. First, we establish fractional heat kernel estimates related to $ L^{\beta} $, $ \beta\in(0, 1) $.
Zhiyong Wang +3 more
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q-Gamma and q-Beta Functions [PDF]
, 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
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