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 | |
| Publication status | Published - 1 Dec 2016 |
Keywords
- apparent singular point
- Heun-class equation
- Painlevé equation
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
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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