The confluent hypergeometric function Φ3 satisfies a system of partial differential equations on P1(C) × P1 (C) with the singular loci x = 0, x = ∞, y = ∞ of irregular type and y = 0 of regular type. We obtain asymptotic expansions and Stokes multipliers of linearly independent solutions near the singular loci x = 0 and x = ∞. Applying the results we also clarify the global behaviour of the solutions of a third order linear ordinary differential equation with two irregular singular points.
|ジャーナル||International Journal of Mathematics|
|出版ステータス||Published - 1997 8月 1|
ASJC Scopus subject areas
- 数学 (全般)