Growth of the first, the second and the fourth Painlevé transcendents
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Publication:4709387
DOI10.1017/S0305004102006400zbMath1030.34086OpenAlexW2067131257MaRDI QIDQ4709387
Publication date: 18 February 2004
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004102006400
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)
Related Items (14)
Airy solutions of Painlevé's second equation ⋮ Poles and \(\alpha\)-points of meromorphic solutions of the first Painlevé hierarchy ⋮ Estimates of the proximate function of differential polynomials ⋮ Equi-Distribution of Values for the Third and the Fifth Painlevé Transcendents ⋮ Value distribution of the fifth Painlevé transcendents in sectorial domains ⋮ Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ On shared-value properties of Painlevé transcendents ⋮ Value Distribution and Growth of Solutions of Certain Painlevé Equations ⋮ Transcendental Meromorphic Solutions of P 34 and Small Targets ⋮ Lower estimates of the growth order of solutions to the second Painlevé hierarchy ⋮ Meromorphic solutions of P_4,34 and their value distribution ⋮ The first, the second and the fourth Painlevé transcendents are of finite order. ⋮ An old new class of meromorphic functions ⋮ Painlevé σ-equations S1, S2, S4 and their value distribution
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