Airy solutions of Painlevé's second equation

DOI10.1007/BF03321029zbMath1069.34134MaRDI QIDQ1884421

Norbert Steinmetz

Publication date: 1 November 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Nevanlinna theorysecond Painlevé equationspecial integrals

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Related Items (3)

Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Unnamed Item ⋮ Integrals involving products of Airy functions, their derivatives and Bessel functions

Cites Work

• Unnamed Item
• Value distribution of the Painlevé transcendents
• Painlevé differential equations in the complex plane
• Zur Theorie der Riccatischen Differentialgleichung
• Growth of the first, the second and the fourth Painlevé transcendents
• On Painlevé's equations I, II and IV
• Solutions of the first and second Painlevé equations are meromorphic
• The first, the second and the fourth Painlevé transcendents are of finite order.

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