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Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients. / Slavyanov, S. Yu; Satco, D. A.; Ishkhanyan, A. M.; Rotinyan, T. A.

In: Theoretical and Mathematical Physics, Vol. 189, No. 3, 01.12.2016, p. 1726-1733.

Research output: Contribution to journal › Article › peer-review

Harvard

Slavyanov, SY, Satco, DA, Ishkhanyan, AM & Rotinyan, TA 2016, 'Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients', Theoretical and Mathematical Physics, vol. 189, no. 3, pp. 1726-1733. https://doi.org/10.1134/S0040577916120059

APA

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

Vancouver

Slavyanov SY, Satco DA, Ishkhanyan AM, Rotinyan TA. Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients. Theoretical and Mathematical Physics. 2016 Dec 1;189(3):1726-1733. https://doi.org/10.1134/S0040577916120059

Author

Slavyanov, S. Yu ; Satco, D. A. ; Ishkhanyan, A. M. ; Rotinyan, T. A. / Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients. In: Theoretical and Mathematical Physics. 2016 ; Vol. 189, No. 3. pp. 1726-1733.

BibTeX

@article{c59c8f189ef34b06956d371058267a7e,
title = "Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients",
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 = "apparent singular point, Heun-class equation, Painlev{\'e} equation",
author = "Slavyanov, {S. Yu} and Satco, {D. A.} and Ishkhanyan, {A. M.} and Rotinyan, {T. A.}",
year = "2016",
month = dec,
day = "1",
doi = "10.1134/S0040577916120059",
language = "English",
volume = "189",
pages = "1726--1733",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients

AU - Slavyanov, S. Yu

AU - Satco, D. A.

AU - Ishkhanyan, A. M.

AU - Rotinyan, T. A.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - 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.

AB - 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.

KW - apparent singular point

KW - Heun-class equation

KW - Painlevé equation

UR - http://www.scopus.com/inward/record.url?scp=85008661171&partnerID=8YFLogxK

U2 - 10.1134/S0040577916120059

DO - 10.1134/S0040577916120059

M3 - Article

AN - SCOPUS:85008661171

VL - 189

SP - 1726

EP - 1733

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 9371094