Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients

DOI10.1134/S0040577916120059zbMath1367.34105arXiv1606.01476OpenAlexW2410206443MaRDI QIDQ518522

A. M. Ishkhanyan, T. A. Rotinyan, D. A. Satco, S. Yu. Slavyanov

Publication date: 28 March 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01476

zbMATH Keywords

Painlevé equationHeun-class equationapparent singular point

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (7)

Confluent Heun equation and confluent hypergeometric equation ⋮ Generalized hypergeometric solutions of the Heun equation ⋮ Symmetries and apparent singularities for the simplest Fuchsian equations ⋮ Antiquantization, isomonodromy, and integrability ⋮ From Heun class equations to Painlevé equations ⋮ Relations between second-order Fuchsian equations and first-order Fuchsian systems ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS

Cites Work

• Unnamed Item
• Antiquantization of deformed Heun-class equations
• Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation
• Polynomial degree reduction of a Fuchsian \(2\times2\) system
• New solutions of Heun s general equation
• Removing false singular points as a method of solving ordinary differential equations
• Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions
• Single polymer dynamics in elongational flow and the confluent Heun equation

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