Open Access
June 2007 Value distribution of the third Painlevé transcendents in sectorial domains
Yoshikatsu Sasaki
Proc. Japan Acad. Ser. A Math. Sci. 83(6): 79-82 (June 2007). DOI: 10.3792/pjaa.83.79

Abstract

This article concerns the value distribution of the third Painlevé transcendents in sectorial domains around fixed singular points. We show that the cardinality of the zeros of a third Painlevé transcendent in a sector has an asymptotic growth of finite order, thereby giving an improvement of the known estimation.

Citation

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Yoshikatsu Sasaki. "Value distribution of the third Painlevé transcendents in sectorial domains." Proc. Japan Acad. Ser. A Math. Sci. 83 (6) 79 - 82, June 2007. https://doi.org/10.3792/pjaa.83.79

Information

Published: June 2007
First available in Project Euclid: 29 August 2007

zbMATH: 1152.34396
MathSciNet: MR2355502
Digital Object Identifier: 10.3792/pjaa.83.79

Subjects:
Primary: 34M55
Secondary: 30D35 , 32A22

Keywords: Painlevé transcendents , sector , value distribution

Rights: Copyright © 2007 The Japan Academy

Vol.83 • No. 6 • June 2007
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