Отправить статью по E-mail Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
- Авторы: Slavyanov S.Y.1, Satco D.A.1, Ishkhanyan A.M.2,3, Rotinyan T.A.1
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Учреждения:
- St. Petersburg State University
- Institute for Physical Research
- Institute of Physics and Technology
- Выпуск: Том 189, № 3 (2016)
- Страницы: 1726-1733
- Раздел: 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.
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S. Slavyanov
St. Petersburg State University
Автор, ответственный за переписку.
Email: slav@ss2034.spb.edu
Россия, St. Petersburg
D. Satco
St. Petersburg State University
Email: slav@ss2034.spb.edu
Россия, St. Petersburg
A. Ishkhanyan
Institute for Physical Research; Institute of Physics and Technology
Email: slav@ss2034.spb.edu
Армения, Ashtarak; Tomsk
T. Rotinyan
St. Petersburg State University
Email: slav@ss2034.spb.edu
Россия, St. Petersburg
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