Symbolic Generation of Painlevé Equations


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Abstract

A symbolic generation of Painlevé equations is developed on the basis of the antiquantization of deformed Heun-class equations. The corresponding CAS Maple package is presented, along with examples of its use. The particular cases of reduced confluent Heun equations are discussed.

About the authors

O. L. Stesik

St.Petersburg State University

Email: slav@ss2034.spb.edu
Russian Federation, St.Petersburg

S. Yu. Slavyanov

St.Petersburg State University

Author for correspondence.
Email: slav@ss2034.spb.edu
Russian Federation, St.Petersburg

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