Computing the real zeros of cylinder functions and the roots of the equation \(x{\mathcal C}_{\nu}'(x)+\gamma{\mathcal C}_{\nu}(x)=0\).
type: Item
instance of: scholarly article
title: Computing the real zeros of cylinder functions and the roots of the equation \(x{\mathcal C}_{\nu}'(x)+\gamma{\mathcal C}_{\nu}(x)=0\).
zbMATH Open document ID: 1252.65087
author: Amparo Gil
author: Javier Segura
publication date: 2012-12-04T00:00:00Z
Mathematics Subject Classification ID: 65H04
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 34A99
zbMATH DE Number: 6112640
zbMATH Keywords: Bessel functions
zbMATH Keywords: nonlinear equations
zbMATH Keywords: fixed point method
zbMATH Keywords: second order ODEs
zbMATH Keywords: Sturm theorems
describes a project that uses: ZEBEC
describes a project that uses: ALGOL 60
describes a project that uses: ELF
describes a project that uses: GNOME
describes a project that uses: Algorithm 644
describes a project that uses: Digital Library of Mathematical Functions
MaRDI profile type: Publication
full work available at URL: j.camwa.2012.02.032
OpenAlex ID: W139484425
cites work: Q3509939
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cites work: The real zeros of the derivatives of cylinder functions of negative order
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cites work: Q3853942
cites work: An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives
cites work: Q3987505
cites work: ZEBEC: A mathematical software package for computing simple zeros of Bessel functions of real order and complex argument
cites work: ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders
cites work: Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method
cites work: A Series Expansion for the First Positive Zero of the Bessel Functions
cites work: Some Remarks on Zeros of Cylinder Functions
cites work: Q3716202
cites work: Algorithm 644
DOI: 10.1016/J.CAMWA.2012.02.032
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6112640