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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 448, Pages 263–269 (Mi znsl6316)

This article is cited in 2 papers

Symbolic generation of Painlevé equations

S. Yu. Slavyanov, O. L. Stesik

St. Petersburg State University, St. Petersburg, Russia

Abstract: Our goal is to simplify the symbolic generation of Painlevé equations from deformed Heun class equations by using CAS Maple. In the developed package, the input data are Heun class equations and the output data are various Painlevé equations.

Key words and phrases: Heun class equations, deformed equations, Painlevé equations, apparent singularities, CAS Maple.

UDC: 517.289+517.923+517.926

Received: 16.09.2016


 English version:
Journal of Mathematical Sciences (New York), 2017, 224:2, 345–348

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© Steklov Math. Inst. of RAS, 2024