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REPRESENTATION OF UMEMURA POLYNOMIALS FOR THE SIXTH PAINLEVÉ EQUATION BY THE GENERALIZED JACOBI POLYNOMIALS

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Publication:2751982
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DOI10.1142/9789812810199_0012zbMath1209.33020OpenAlexW1983181221MaRDI QIDQ2751982

Makoto Taneda

Publication date: 2001

Published in: Physics and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812810199_0012



Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)


Related Items

Special polynomials associated with rational solutions of the Painlevé equations and applications to soliton equations ⋮ The Symmetric Fourth Painlevé Hierarchy and Associated Special Polynomials ⋮ Special polynomials associated with rational solutions of the fifth Painlevé equation



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