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Computational Methods and Function Theory 7 (2007), No. 2, 477--499
Copyright Heldermann Verlag 2007

On Shared-Value Properties of Painlevé Transcendents

Weichuan Lin
sxlwc936@fjnu.edu.cn , Fujian Normal University, Department of Mathematics, Fuzhou, 350007, P. R. China.

Kazuya Tohge
tohge@t.kanazawa-u.ac.jp , Kanazawa University, Faculty of Technology, Kakuma-machi, Kanazawa, 920-1192, Japan.

[Abstract-pdf] [Abstract-ps]

In this paper, we study some shared-value properties of the first Painlevé transcendents by applying its distinctive value distribution. One of the results is verified also for the second and the fourth Painlevé transcendents.

Keywords: Painlevé equation, α-Yosida function, Shared value.

MSC 2000: Primary 30D35; Secondary 30D45, 34M55.

[FullText-pdf (339 K)] [FullText-ps (571 K)]