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

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

Division for Experimental Physics

Research output: Contribution to journal › Article

Abstract

We discuss several examples of generating apparent singular points as a result of differentiating particular homogeneous linear ordinary differential equations with polynomial coefficients and formulate two general conjectures on the generation and removal of apparent singularities in arbitrary Fuchsian differential equations with polynomial coefficients. We consider a model problem in polymer physics.

Original language	English
Pages (from-to)	1726-1733
Number of pages	8
Journal	Theoretical and Mathematical Physics
Volume	189
Issue number	3
DOIs	https://doi.org/10.1134/S0040577916120059
Publication status	Published - 1 Dec 2016

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Keywords

apparent singular point
Heun-class equation
Painlevé equation

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Cite this

Slavyanov, S. Y., Satco, D. A., Ishkhanyan, A. M., & Rotinyan, T. A. (2016). Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients. Theoretical and Mathematical Physics, 189(3), 1726-1733. https://doi.org/10.1134/S0040577916120059

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KW - Painlevé equation

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Access to Document

10.1134/S0040577916120059