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Equi-Distribution of Values for the Third and the Fifth Painlevé Transcendents
Published online by Cambridge University Press: 11 January 2016
Abstract
We show equi-distribution properties of values for the third and the fifth Painlevé transcendents in a sectorial domain. For our purpose we define a characteristic function of sectorial domain type by employing value distribution theory in a half plane. Some special cases admit analogues of Borel exceptional values. Similar results are obtained for modified versions of these Painlevé transcendents, which are of infinite growth order.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 2008
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