Note on the complex zeros of <mml:math altimg="si14.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msubsup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>ν</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="normal">i</mml:mi><mml:mi>ζ</mml:mi><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>ν</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>-Reference-Cited by-同舟云学术

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Note on the complex zeros of Hν′(x)+iζHν(x)=0

Published:2007-04 Issue:1 Volume:201 Page:3-7
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Sandström Sven-Erik,Ackrén Christian

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference11 articles.

1. Handbook of Mathematical Functions;Abramowitz,1965

2. Asymptotic Methods in Electromagnetics;Bouche,1997

3. Electromagnetic and Acoustic Scattering by Simple Shapes;Bowman,1987

4. Determination of ν-zeros of Hankel functions;Campbell;Comput. Phys. Comm.,1984

5. The zeros of Hankel functions as functions of their order;Cochran;Numer. Math.,1965

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1. Determination of scattering frequencies for two-dimensional acoustic problems using boundary element method;Journal of Low Frequency Noise, Vibration and Active Control;2019-10-08

2. Neumann-Weber integral transform for complex indices;Journal of Mathematical Physics;2019-04

3. Zeros of the Macdonald function of complex order;Journal of Computational and Applied Mathematics;2008-02

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