A note on the connection problem of some special Painlevé V functions

DOI10.1080/17476933.2016.1238467zbMath1364.33021arXiv1601.00728OpenAlexW2963013473MaRDI QIDQ2980769

Jian-Rong Zhou, Wen-Gao Long, Zhao-Yun Zeng

Publication date: 3 May 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00728

zbMATH Keywords

modified Bessel functionsuniform asymptoticsWhittaker functionsconnection formulasthe fifth Painlevé transcendent

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotic expansions of solutions to ordinary differential equations (34E05) Painlevé-type functions (33E17)

Related Items (3)

On the connection problem for the second Painlevé equation with large initial data ⋮ Irregular conformal blocks and connection formulae for Painlevé V functions ⋮ On the connection problem for nonlinear differential equation

Uses Software

• DLMF

Cites Work

• Monodromy problem and the boundary condition for some Painlevé equations
• On connection formulas for asymptotic expansions for some special solutions of the fifth Painlevé equation
• Application of uniform asymptotics to the second Painlevé transcendent
• Surfaces with harmonic inverse mean curvature and Painlevé equations
• Application of uniform asymptotics to the fifth Painlevé transcendent
• Application of uniform asymptotics to the connection formulas of the fifth Painlevé equation
• Uniform Asymptotic Solutions of Second-Order Linear Differential Equations Having a Double Pole with Complex Exponent and a Coalescing Turning Point
• ON THE CONNECTION FORMULAS OF THE FOURTH PAINLEVÉ TRANSCENDENT
• Second-order linear differential equations with two turning points
• Connection formulae for asymptotics of the fifth Painlevé transcendent on the real axis

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