Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 10-18
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F. V. Andreev. On some special solutions of the fifth Painlevé equation. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 10-18. http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a1/
@article{ZNSL_1997_243_a1,
author = {F. V. Andreev},
title = {On some special solutions of the fifth {Painlev\'e} equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {10--18},
year = {1997},
volume = {243},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a1/}
}
TY - JOUR
AU - F. V. Andreev
TI - On some special solutions of the fifth Painlevé equation
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 10
EP - 18
VL - 243
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a1/
LA - ru
ID - ZNSL_1997_243_a1
ER -
%0 Journal Article
%A F. V. Andreev
%T On some special solutions of the fifth Painlevé equation
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 10-18
%V 243
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a1/
%G ru
%F ZNSL_1997_243_a1
Four kinds of special solutions of the fifth Painlevé equation are described. Their asymptotic expansions as $t\to+\infty$ are given. The corresponding monodromy data are calculated. This allows one immediately obtain the connection formulas.