Truncated solutions of the fifth Painlevé equation

Shun Shimomura

doi:10.1619/fesi.54.451

Truncated solutions of the fifth Painlevé equation

Shun Shimomura

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The fifth Painlevé equation admits several families of solutions behaving exponentially in their proper sectors near infinity, which are called truncated solutions. For these truncated solutions, we discuss the frequency of a-points including poles outside the corresponding sectors. Except for some special cases, all the values are equally distributed, and for each a there exist infinitely many a-points.

Original language	English
Pages (from-to)	451-471
Number of pages	21
Journal	Funkcialaj Ekvacioj
Volume	54
Issue number	3
DOIs	https://doi.org/10.1619/fesi.54.451
Publication status	Published - 2011 Nov 30

Keywords

Fifth Painlevé equation
Truncated solutions
Value distribution

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.1619/fesi.54.451

Cite this

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Truncated solutions of the fifth Painlevé equation

Abstract

Keywords

ASJC Scopus subject areas

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