Some asymptotic formulae for cylindrical Bessel functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 12, pp. 1775-1784
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Asymptotic formulae, convenient for numerical work, are derived for cylindrical Bessel functions of the first, second and third kinds, for modified Bessel functions of the first and second kinds of complex argument and real order, and for their derivatives. These formulae are valid when both argument and order go to infinity simultaneously, subject to a certain law of growth. The formulae may be used to compute the zeros of all the Bessel functions and their derivatives.
@article{ZVMMF_1990_30_12_a2,
author = {M. K. Kerimov and S. L. Skorokhodov},
title = {Some asymptotic formulae for cylindrical {Bessel} functions},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1775--1784},
publisher = {mathdoc},
volume = {30},
number = {12},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_12_a2/}
}
TY - JOUR AU - M. K. Kerimov AU - S. L. Skorokhodov TI - Some asymptotic formulae for cylindrical Bessel functions JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 1775 EP - 1784 VL - 30 IS - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_12_a2/ LA - ru ID - ZVMMF_1990_30_12_a2 ER -
%0 Journal Article %A M. K. Kerimov %A S. L. Skorokhodov %T Some asymptotic formulae for cylindrical Bessel functions %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 1775-1784 %V 30 %N 12 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_12_a2/ %G ru %F ZVMMF_1990_30_12_a2
M. K. Kerimov; S. L. Skorokhodov. Some asymptotic formulae for cylindrical Bessel functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 12, pp. 1775-1784. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_12_a2/