## 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.

Original language | English |
---|---|

Pages (from-to) | 689-702 |

Number of pages | 14 |

Journal | International Journal of Mathematics |

Volume | 8 |

Issue number | 5 |

Publication status | Published - 1997 Aug 1 |

## ASJC Scopus subject areas

- Mathematics(all)

## Fingerprint

Dive into the research topics of 'A system associated with the confluent hypergeometric function Φ_{3}and a certain linear ordinary differential equation with two irregular singular points'. Together they form a unique fingerprint.