Highly accurate calculation of radial spheroidal functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 6, pp. 996-1001
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A new method for calculating the radial spheroidal functions of the first kind is proposed for the arguments that are greater than unity in modulus. A well-known representation of these functions is refined and used for this purpose. The constructs and the software implementation proposed in the paper provide an efficient tool for the calculation of the functions with a desired accuracy in a wide range of parameters.
@article{ZVMMF_2006_46_6_a3,
author = {A. A. Abramov and S. V. Kurochkin},
title = {Highly accurate calculation of radial spheroidal functions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {996--1001},
publisher = {mathdoc},
volume = {46},
number = {6},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_6_a3/}
}
TY - JOUR AU - A. A. Abramov AU - S. V. Kurochkin TI - Highly accurate calculation of radial spheroidal functions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 996 EP - 1001 VL - 46 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_6_a3/ LA - ru ID - ZVMMF_2006_46_6_a3 ER -
%0 Journal Article %A A. A. Abramov %A S. V. Kurochkin %T Highly accurate calculation of radial spheroidal functions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2006 %P 996-1001 %V 46 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_6_a3/ %G ru %F ZVMMF_2006_46_6_a3
A. A. Abramov; S. V. Kurochkin. Highly accurate calculation of radial spheroidal functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 6, pp. 996-1001. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_6_a3/