A system associated with the confluent hypergeometric function Φ3 and a certain linear ordinary differential equation with two irregular singular points

Shun Shimomura

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)689-702
Number of pages14
JournalInternational Journal of Mathematics
Volume8
Issue number5
Publication statusPublished - 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<sub>3</sub> and a certain linear ordinary differential equation with two irregular singular points'. Together they form a unique fingerprint.

Cite this