TY - JOUR
T1 - Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function ϕ I
AU - Shimomura, Shun
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1993
Y1 - 1993
N2 - The confluent hypergeometric function [formula omitted] satisfies a system of partial differential equations which possesses the singular loci [formula omitted] of regular type and [formula omitted]of irregular type. Near[formula omitted] is bounded) and near [formula omitted]is bounded), asymptotic expansions and Stokes multipliers of linearly independent solutions of the system are obtained. By a connection formula, the asymptotic behaviour of[formula omitted] itself is also clarified near these singular loci.
AB - The confluent hypergeometric function [formula omitted] satisfies a system of partial differential equations which possesses the singular loci [formula omitted] of regular type and [formula omitted]of irregular type. Near[formula omitted] is bounded) and near [formula omitted]is bounded), asymptotic expansions and Stokes multipliers of linearly independent solutions of the system are obtained. By a connection formula, the asymptotic behaviour of[formula omitted] itself is also clarified near these singular loci.
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U2 - 10.1017/S0308210500029802
DO - 10.1017/S0308210500029802
M3 - Article
AN - SCOPUS:84976189236
SN - 0308-2105
VL - 123
SP - 1165
EP - 1177
JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
IS - 6
ER -