Geodesic
Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 3, pp. 371-379

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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.
Mots-clés : Heun-class equation, apparent singular point.
Keywords: Painlevé equation 
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     title = {Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2016_189_3_a4/}
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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. Teoretičeskaâ i matematičeskaâ fizika, Tome 189 (2016) no. 3, pp. 371-379. http://geodesic.mathdoc.fr/item/TMF_2016_189_3_a4/