Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 19-29
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F. V. Andreev; A. V. Kitaev. On connection formulas for asymptotics of 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. 19-29. http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a2/
@article{ZNSL_1997_243_a2,
author = {F. V. Andreev and A. V. Kitaev},
title = {On connection formulas for asymptotics of some special solutions of the fifth {Painlev\'e} equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {19--29},
year = {1997},
volume = {243},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a2/}
}
TY - JOUR
AU - F. V. Andreev
AU - A. V. Kitaev
TI - On connection formulas for asymptotics of some special solutions of the fifth Painlevé equation
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 19
EP - 29
VL - 243
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a2/
LA - ru
ID - ZNSL_1997_243_a2
ER -
%0 Journal Article
%A F. V. Andreev
%A A. V. Kitaev
%T On connection formulas for asymptotics of some special solutions of the fifth Painlevé equation
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 19-29
%V 243
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a2/
%G ru
%F ZNSL_1997_243_a2
Asymptotical expansions of some special solutions of the fifth Painlevé equation as $x\to 0$ and $x\to+\infty$ as well as the corresponding connection formulas are obtained. An example of application of the obtained formulas to the third Painlevé equation is given.
