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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, Painlevé equation, apparent singular point. 
@article{TMF_2016_189_3_a4,
     author = {S. Yu. Slavyanov and D. F. Shat'ko and A. M. Ishkhanyan and T. A. Rotinyan},
     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},
     pages = {371--379},
     year = {2016},
     volume = {189},
     number = {3},
     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/