On a generalized bessel function of two variables II. Case of coalescing saddle points

Shun Shimomura

Research output: Contribution to journalArticle

Abstract

A generalized Bessel function of two variables satisfies a system of partial differential equations. Two of the singular loci of the system are of irregular type. Near one of them we study the asymptotic behavior of suitably chosen linearly independent solutions. In our calculation coalescing saddle points are treated.

Original languageEnglish
Pages (from-to)389-406
Number of pages18
JournalTohoku Mathematical Journal
Volume50
Issue number3
Publication statusPublished - 1998 Sep

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Bessel Functions
Systems of Partial Differential Equations
Saddlepoint
Generalized Functions
Locus
Irregular
Linearly
Asymptotic Behavior

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On a generalized bessel function of two variables II. Case of coalescing saddle points. / Shimomura, Shun.

In: Tohoku Mathematical Journal, Vol. 50, No. 3, 09.1998, p. 389-406.

Research output: Contribution to journalArticle

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