TY - JOUR

T1 - Asymptotic expansions and Stokes multipliers of the confluent hypergeometric function ϕ I

AU - Shimomura, Shun

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

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

SN - 0308-2105

IS - 6

ER -