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

doi:10.1134/S0040577916120059

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

作者: Slavyanov S.Y.¹, Satco D.A.¹, Ishkhanyan A.M.²^,3, Rotinyan T.A.¹
隶属关系:
1. St. Petersburg State University
2. Institute for Physical Research
3. Institute of Physics and Technology
期: 卷 189, 编号 3 (2016)
页面: 1726-1733
栏目: Article
URL: https://journals.rcsi.science/0040-5779/article/view/170875
DOI: https://doi.org/10.1134/S0040577916120059
ID: 170875

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详细

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.