Results 11 to 20 of about 65,705 (243)
Computing hypergeometric functions rigorously [PDF]
, 2016 We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
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Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters [PDF]
, 1996 We consider the asymptotic behavior of the incomplete gamma functions gamma(-a,-z) and Gamma(-a,-z) as a goes to infinity. Uniform expansions are needed to describe the transition area z~a in which case error functions are used as main approximants.
Temme, Nico M.
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On a connection between the generalized incomplete gamma functions and their extensions [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1997 AbstractIn this paper we have proved that the generalized incomplete gamma functions and their extensions are mutually related through integral and differential representations.
Chaudhry, M. Aslam, Zubair, S. M.
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Advances in Difference Equations, 2020 In this article, we employ the lower regularized incomplete gamma functions to demonstrate the existence and uniqueness of solutions for fractional differential equations involving nonlocal fractional derivatives (GPF derivatives) generated by ...
Zaid Laadjal +2 more
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Implementing the multimodel generalized beta estimator in stata and its application [PDF]
, 2016 The multimodel generalized beta estimator (MGBE) described by von Hippel, Scarpino and Hola (2014) provides researchers with an improved way to estimate inequality from binned incomes.
Duan, Yutong
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Generalized incomplete gamma functions with applications
Journal of Computational and Applied Mathematics, 1994 The authors introduce the following generalization of the incomplete gamma function: \[ \int^\infty_x e^{-t} t^{\alpha - 1} e^{- t - b/t} dt, \quad \text{Re} (\alpha),\;b > 0, \] and its complement. These have been found useful in their researches in heat conduction, probability theory and in the study of Fourier and Laplace transforms.
Chaudhry, M.Aslam, Zubair, S.M.
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Axioms, 2023 Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis.
Sergey Sekatskii
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Unified Performance Analysis of Mixed Line of Sight RF-FSO Fixed Gain Dual-Hop Transmission Systems [PDF]
, 2014 In this work, we carry out a unified performance analysis of a dual-hop fixed gain relay system over asymmetric links composed of both radio-frequency (RF) and unified free-space optics (FSO) under the effect of pointing errors. The RF link is modeled by
Alouini, Mohamed-Slim +2 more
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On certain generalized incomplete gamma functions
Journal of Computational and Applied Mathematics, 1998 \textit{M. A. Chaudhry} and \textit{S. M. Zubair} [J. Comput. Appl. Math. 55, No. 1, 99-124 (1994; Zbl 0833.33002)] have introduced a generalized incomplete gamma function \(\Gamma(\nu,x; z)\) which reduces to the incomplete gamma function when its variable \(z\) vanishes.
Miller, Allen R., Moskowitz, Ira S.
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AIMS Mathematics, 2020 The image formula of the incomplete H-functions is derived in this paper by using the Srivastava-Luo-Raina M-Transform. Also, we obtained the image formulae of some useful and important cases of incomplete H-function.
M. K. Bansal +4 more
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