Application of connection formula on eliminating plausible asymptotic representation of the painlevé transcendents

DOI10.1080/00036810410001712808zbMath1068.34085OpenAlexW1997106315MaRDI QIDQ4655866

You-Min Lu

Publication date: 8 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001712808

zbMATH Keywords

asymptoticsPainlevé equationsconnection formula

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Cites Work

• A method of linearization for Painlevé equations: Painlevé IV, V
• Application of uniform asymptotics to the second Painlevé transcendent

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