Lu, Youmin; Shao, Zhoude Application of uniform asymptotics to the fifth Painlevé transcendent. (English) Zbl 1010.34082 Int. J. Math. Math. Sci. 31, No. 1, 43-49 (2002). The authors study the general fifth Painlevé equation and apply the uniform asymptotic method to the fifth Painlevé transcendents. Further, they find its asymptotics of the form \(y=-1+t^{-1/2} A(t)\) as \(t\to \infty\) along the positive \(t\)-axis and obtain the corresponding monodromy data. Reviewer: S. D. Bajpai (Indore) Cited in 2 Documents MSC: 34M35 Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms 34E05 Asymptotic expansions of solutions to ordinary differential equations Keywords:uniform asymptotics; Painlevé transcendent PDFBibTeX XMLCite \textit{Y. Lu} and \textit{Z. Shao}, Int. J. Math. Math. Sci. 31, No. 1, 43--49 (2002; Zbl 1010.34082) Full Text: DOI EuDML Link