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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 189, Number 3, Pages 371–379
DOI: https://doi.org/10.4213/tmf9229 (Mi tmf9229) 		 
This article is cited in 10 scientific papers (total in 10 papers)

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

S. Yu. Slavyanova, D. F. Shat'koa, A. M. Ishkhanyanbc, T. A. Rotinyana

a Saint Petersburg State University, Saint Petersburg, Russia
b Institute of Physics and Technology, Tomsk Polytechnical University, Tomsk. Russia
c Institute for Physical Research, National Academy of Sciences of Armenia, Ashtarak-2, Armenia
Full-text PDF (346 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf9229
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.
Keywords: Heun-class equation, Painlevé equation, apparent singular point.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 15T-1C323
Ministry of Education and Science of the Russian Federation FTI_24_2016
The research of A. M. Ishkhanyan was supported by the Armenian State Committee of Science (SCS Grant No. 15T-1C323) and the project “Leading Russian Research Universities” (Grant No. FTI_24_2016 of Tomsk Polytechnic University).
Received: 13.05.2016
English version:
Theoretical and Mathematical Physics, 2016, Volume 189, Issue 3, Pages 1726–1733
DOI: https://doi.org/10.1134/S0040577916120059
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Yu. Slavyanov, D. F. Shat'ko, A. M. Ishkhanyan, T. A. Rotinyan, “Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients”, TMF, 189:3 (2016), 371–379; Theoret. and Math. Phys., 189:3 (2016), 1726–1733
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
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