Title: A System Associated with the Confluent Hypergeometric Function Φ<sub>3</sub> and a Certain Linear Ordinary Differential Equation with Two Irregular Singular Points
Abstract: The confluent hypergeometric function Φ 3 satisfies a system of partial differential equations on P 1 (C) × P 1 (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.
Publication Year: 1997
Publication Date: 1997-08-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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