Results 21 to 30 of about 435,327 (305)

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

Quantifying alpha, beta and gamma geodiversity

open access: yesProgress in Physical Geography: Earth and Environment, 2022
Geodiversity is an emerging, multi-faceted concept in Earth and environmental sciences. Knowledge on geo-diversity is crucial for understanding functions of natural systems and in guiding sustainable development.
H. Tukiainen   +9 more
semanticscholar   +1 more source

Some Integrals Connected with a New Quadruple Hypergeometric Series

open access: yesUniversal 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
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

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

Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function [PDF]

open access: yes, 2013
Montgomery's pair correlation conjecture predicts the asymptotic behavior of the function $N(T,\beta)$ defined to be the number of pairs $\gamma$ and $\gamma'$ of ordinates of nontrivial zeros of the Riemann zeta-function satisfying $00$, using ...
Carneiro, Emanuel   +3 more
core   +1 more source

Voltage dependence of Hodgkin-Huxley rate functions for a multi-stage K channel voltage sensor within a membrane [PDF]

open access: yes, 2014
The activation of a $K^+$ channel sensor in two sequential stages during a voltage clamp may be described as the translocation of a Brownian particle in an energy landscape with two large barriers between states.
Vaccaro, Samuel R.
core   +2 more sources

Free infinite divisibility for beta distributions and related ones [PDF]

open access: yes, 2014
We prove that many of beta, beta prime, gamma, inverse gamma, Student t- and ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter negative result follows from a local property of probability density functions.
Hasebe, Takahiro
core   +2 more sources

Some properties of the generalized Gamma and Beta functions

open access: yesUniversity of Aden Journal of Natural and Applied Sciences, 2016
In this paper, a new generalization of Gamma and Beta functions have been deduced Also for the generalized Beta function, an integral representation, a functional relation and a summation relation was given for the new generalized Gamma function ...
Fadhle B.F., M. A. Kulib
semanticscholar   +1 more source

Region of variablity for Bazilevic functions

open access: yesAIMS 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
doaj   +1 more source

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