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Zeros of the Macdonald function of complex order (Q2475391)

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Language	Label	Description	Also known as
English	Zeros of the Macdonald function of complex order	scientific article

Statements

scholarly article

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Zeros of the Macdonald function of complex order (English)

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Erasmo M. Ferreira

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Journal of Computational and Applied Mathematics

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publication date

11 March 2008

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full work available at URL

https://arxiv.org/abs/math/0607471

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zbMATH Keywords

Macdonald function

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modified Bessel function of the third kind

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Hankel function

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zeros

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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On Temme's Algorithm for the Modified Bessel Function of the Third Kind

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The zeros of Hankel functions as functions of their order

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Numerical Techniques for Finding ν-Zeros of Hankel Functions

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Zeros of the Hankel function of real order out of the principal Riemann sheet

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Zeros of the Hankel Function of Real Order and of Its Derivative

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Bessel Functions of Purely Imaginary Order, with an Application to Second-Order Linear Differential Equations Having a Large Parameter

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Algorithms and codes for the Macdonald function: Recent progress and comparisons.

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On the Reversion of an Asymptotic Expansion and the Zeros of the Airy Functions

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Zeros of the modified Hankel function

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Diffraction of pulses by a circular cylinder

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Numerical quadrature computation of the Macdonald function for complex orders

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Evaluation of the modified Bessel function of the third kind of imaginary orders

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Computing special functions by using quadrature rules

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Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments

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Error Bounds for Asymptotic Approximations of Zeros of Hankel Functions Occurring in Diffraction Problems

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Zeros of Hankel Functions and Poles of Scattering Amplitudes

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Inequalities and monotonicity results for zeros of modified Bessel functions of purely imaginary order

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An Application of the Finite Element Approximation Method to Find the Complex Zeros of the Modified Bessel Function K n (z)

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Software needs in special functions

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The zeros of the Hankel function as a function of its order

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On the Zeros of a Class of Bessel Functions Whose Argument and Order are Functions of a Complex Variable

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The Zeros of Special Functions from a Fixed Point Method

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A code evaluate modified Bessel functions based on the continued fraction method

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On the numerical evaluation of the modified Bessel function of the third kind

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Numerical algorithms for uniform Airy-type asymptotic expansions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CAM.2006.11.014

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Sitelinks

Mathematics(1 entry)

mardi Publication:2475391

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