Symbolic generation of Painlevé equations

DOI10.1007/s10958-017-3420-6zbMath1375.65109OpenAlexW2619924158MaRDI QIDQ2406891

O. L. Stesik, S. Yu. Slavyanov

Publication date: 4 October 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3420-6

zbMATH Keywords

HamiltonianPainlevé equationsantiquantizationMaple packageconfluent Heun equationssymbolic generation

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Packaged methods for numerical algorithms (65Y15) Numerical methods for ordinary differential equations (65L99)

Related Items (2)

Antiquantization as a specific way from the statistical physics to the regular physics ⋮ First-order ODE systems generating confluent Heun equations

Uses Software

• Maple
• DLMF

Cites Work

• Antiquantization of deformed Heun-class equations
• Painlevé equations as classical analogues of Heun equations
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