Results 11 to 20 of about 56,281 (232)
Computing hypergeometric functions rigorously [PDF]
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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Analysis of COVID-19 and Cancer Data using New Half-Logistic Generated Family of Distributions [PDF]
We focus on a specific sub-model of the proposed family that we call the new half logistic- Fréchet. This sub-model stems from a new generalisation of the half-logistic distribution which we call the new half-logistic-G. The novelty of proposing this new
Sadaf Khan +2 more
doaj
Generalized incomplete gamma functions with applications
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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On certain generalized incomplete gamma functions
\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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GENERATING FUNCTION FOR BERNOULLI NUMBERS AND ITS GENERALIZATIONS [PDF]
This paper explores certain generalizations of the generating function of Bernoulli numbers, the computation of integrals, and the investigation of the convergence of integrals from these functions.
Gasanov Magomedyusuf
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Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Department of Physics, University of Utah, Salt Lake City, UT 84112, USA ( host institution ) +1 more
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Unified Performance Analysis of Mixed Line of Sight RF-FSO Fixed Gain Dual-Hop Transmission Systems [PDF]
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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We present a computational procedure to evaluate the integral ∫ y x s p -1 e -μs ds for 0 ≤ x < y ≤ +∞,μ = ±1, p > 0, which ...
Abergel, Rémy, Moisan, Lionel
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New Application for the Generalized Incomplete Gamma Function in the Heat Transfer of Nanofluids via Two Transformations [PDF]
The boundary layer flow of nanofluids is usually described by a system of nonlinear differential equations with infinity boundary conditions. These boundary conditions at infinity are transformed into classical boundary conditions via two different transformations.
Abdelhalim Ebaid, Hibah S. Alhawiti
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Refinements of Some Recent Inequalities for Certain Special Functions
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed +1 more
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