IEICE TRANSACTIONS on Fundamentals
Numerical Calculation of Cylindrical Functions of Complex Order Using Debye's Asymptotic Series
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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Mohd Abdur RASHID, Masao KODAMA, "Numerical Calculation of Cylindrical Functions of Complex Order Using Debye's Asymptotic Series" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 12, pp. 2664-2671, December 2000, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_12_2664/_p
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@ARTICLE{e83-a_12_2664,
author={Mohd Abdur RASHID, Masao KODAMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Numerical Calculation of Cylindrical Functions of Complex Order Using Debye's Asymptotic Series},
year={2000},
volume={E83-A},
number={12},
pages={2664-2671},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Numerical Calculation of Cylindrical Functions of Complex Order Using Debye's Asymptotic Series
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2664
EP - 2671
AU - Mohd Abdur RASHID
AU - Masao KODAMA
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2000
AB - 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.
ER -
English
