### 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 language | English |
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Pages (from-to) | 389-406 |

Number of pages | 18 |

Journal | Tohoku Mathematical Journal |

Volume | 50 |

Issue number | 3 |

Publication status | Published - 1998 Sep |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Tohoku Mathematical Journal*,

*50*(3), 389-406.

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

Research output: Contribution to journal › Article

*Tohoku Mathematical Journal*, vol. 50, no. 3, pp. 389-406.

}

TY - JOUR

T1 - On a generalized bessel function of two variables II. Case of coalescing saddle points

AU - Shimomura, Shun

PY - 1998/9

Y1 - 1998/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0032330213&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032330213&partnerID=8YFLogxK

M3 - Article

VL - 50

SP - 389

EP - 406

JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

SN - 0040-8735

IS - 3

ER -