Results 21 to 30 of about 442,522 (298)
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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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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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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New Modified Gamma and Beta Functions
, 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
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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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Free infinite divisibility for beta distributions and related ones [PDF]
, 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
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Applicable Analysis and Discrete Mathematics, 2020 In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, find logarithmically complete monotonicity of these extended functions, and, in light of logarithmically ...
Feng Qi (祁锋) +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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Voltage dependence of Hodgkin-Huxley rate functions for a multi-stage K channel voltage sensor within a membrane [PDF]
, 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.
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Some properties of the generalized Gamma and Beta functions
University 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
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