Numerical Calculation of the Neumann Function Nν(x) of Complex Order ν

Masao KODAMA  Masayuki YAMASATO  Shinya YAMASHIRO  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E78-A   No.6   pp.727-736
Publication Date: 1995/06/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Numerical Analysis and Optimization
Keyword: 
Neumann function,  complex order,  numerical calculation,  

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Summary: 
We frequently need to calculate the Neumann function Nν(x) of complex order ν numerically in order to solve boundary problems on electromagnetic fields. This paper presents a new method for the numerical calculation of Nν(x) of complex order ν. This method can calculate Nν(x) precisely even when the order ν is close to an integer n, and the algorithm by the method is very simple.