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.
| Original language | English |
|---|---|
| Pages (from-to) | 1726-1733 |
| Number of pages | 8 |
| Journal | Theoretical and Mathematical Physics |
| Volume | 189 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Dec 2016 |
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Keywords
- apparent singular point
- Heun-class equation
- Painlevé equation
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
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
}
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
UR - http://www.scopus.com/inward/citedby.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 -