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Numerical Calculation of Cylindrical Functions of Complex Order Using Debye's Asymptotic Series

Mohd Abdur RASHID, Masao KODAMA

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Summary :

Debye's asymptotic series is frequently used for calculation of cylindrical functions. However, it seems that until now this series has not been used in all-purpose programs for numerical calculation of the cylindrical functions. The authors attempt to develop these all-purpose programs. We present some improvements for the numerical calculation. As the results, Debye's series can be used for the all-purpose programs, and it is found out that the series gives sufficient accuracy if some conditions are satisfied.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.12 pp.2664-2671
Publication Date
2000/12/25
Publicized
Online ISSN
DOI
Type of Manuscript
PAPER
Category
Numerical Analysis and Optimization

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