Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 8, Tome 62 (1976), pp. 220-233
Citer cet article
Z. A. Yanson. Asymptotics of solutions of second-order differential equations with two turning points and a complex parameter. I. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 8, Tome 62 (1976), pp. 220-233. http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a17/
@article{ZNSL_1976_62_a17,
author = {Z. A. Yanson},
title = {Asymptotics of solutions of second-order differential equations with two turning points and a complex {parameter.~I}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {220--233},
year = {1976},
volume = {62},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a17/}
}
TY - JOUR
AU - Z. A. Yanson
TI - Asymptotics of solutions of second-order differential equations with two turning points and a complex parameter. I
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1976
SP - 220
EP - 233
VL - 62
UR - http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a17/
LA - ru
ID - ZNSL_1976_62_a17
ER -
%0 Journal Article
%A Z. A. Yanson
%T Asymptotics of solutions of second-order differential equations with two turning points and a complex parameter. I
%J Zapiski Nauchnykh Seminarov POMI
%D 1976
%P 220-233
%V 62
%U http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a17/
%G ru
%F ZNSL_1976_62_a17
Asymptotic representations are obtained for the solutions of a second-order linear differential equation with coefficient having finite smoothness and containing a complex parameter $\zeta$. The asymptotic solutions are expressed in terms of parabolic cylinder functions, and the estimate for the correction to the leading term of the asymptotic expression is uniform with respect to $\arg\zeta$.
