Results 11 to 20 of about 56,281 (232)

Computing hypergeometric functions rigorously [PDF]

open access: yes, 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
core   +5 more sources

Analysis of COVID-19 and Cancer Data using New Half-Logistic Generated Family of Distributions [PDF]

open access: yesOperations Research and Decisions, 2023
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

open access: yesJournal 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.
openaire   +2 more sources

On certain generalized incomplete gamma functions

open access: yesJournal 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.
openaire   +2 more sources

GENERATING FUNCTION FOR BERNOULLI NUMBERS AND ITS GENERALIZATIONS [PDF]

open access: yesJournal of Mechanics of Continua and Mathematical Sciences
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
doaj   +1 more source

Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions

open access: yesJournal of Computational and Applied Mathematics, 2008
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
openaire   +3 more sources

Unified Performance Analysis of Mixed Line of Sight RF-FSO Fixed Gain Dual-Hop Transmission Systems [PDF]

open access: yes, 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
core   +1 more source

Algorithm 1006

open access: yesACM Transactions on Mathematical Software, 2020
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
openaire   +2 more sources

New Application for the Generalized Incomplete Gamma Function in the Heat Transfer of Nanofluids via Two Transformations [PDF]

open access: yesJournal of Computational Engineering, 2015
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
openaire   +1 more source

Refinements of Some Recent Inequalities for Certain Special Functions

open access: yesAnnales Mathematicae Silesianae, 2019
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
doaj   +1 more source

Home - About - Disclaimer - Privacy