Uniqueness theorems for solutions of Painlevé transcendents

DOI10.3103/S1068362316040063zbMath1354.30022MaRDI QIDQ728422

D. Kharzeev

Publication date: 20 December 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

meromorphic functionsuniqueness problemssharing values

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (1)

Uniqueness of meromorphic solutions sharing values with a meromorphic function to \(w(z + 1)w(z - 1) = H(z)w^m(z)\)

Cites Work

• Value distribution of the fifth Painlevé transcendents in sectorial domains
• On shared-value properties of Painlevé transcendents
• Nevanlinna theory and complex differential equations
• Painlevé differential equations in the complex plane
• Unicity theorems for meromorphic functions that share three values
• Rational solutions of the Painlevé VI equation
• Meromorphic functions sharing three values
• Meromorphic functions sharing three values
• Value distribution of Painlevé transcendents of the first and the second kind
• On Painlevé's equations I, II and IV
• Solutions of the first and second Painlevé equations are meromorphic
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