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

Авторлар: Slavyanov S.Y.¹, Satco D.A.¹, Ishkhanyan A.M.²^,3, Rotinyan T.A.¹
Мекемелер:
1. St. Petersburg State University
2. Institute for Physical Research
3. Institute of Physics and Technology
Шығарылым: Том 189, № 3 (2016)
Беттер: 1726-1733
Бөлім: Article
URL: https://journals.rcsi.science/0040-5779/article/view/170875
DOI: https://doi.org/10.1134/S0040577916120059
ID: 170875

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Аннотация

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.