Open Problems for Painlevé Equations

Symmetry Integrability and Geometry-Methods and Applications

article

Peter A. Clarkson¹ 

[1] School of Mathematics, Statistics and Actuarial Science, University of Kent

关键词: orthogonal polynomials;    special functions;    open problems;   

DOI  :  10.3842/SIGMA.2019.006

来源: National Academy of Science of Ukraine

【 摘 要 】

In this paper some open problems for Painlevé equations are discussed. In particular the following open problems are described: (i) the Painlevé equivalence problem; (ii) notation for solutions of the Painlevé equations; (iii) numerical solution of Painlevé equations; and (iv) the classification of properties of Painlevé equations.

【 授权许可】

Unknown