Geodesic
Confluence of Fuchsian second-order differential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 2, pp. 233-247

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Ordinary linear homogeneous second-order differential equations with polynomial coefficients including one in front of the second derivative are studied. Fundamental definitions for these equations: of $s$-rank of the singularity (different from Poincaré rank), of $s$-multisymbol of the equation and of $s$-homotopic transformations are proposed. Generalization of Fuchs\rq theorem for confluent Fuchsian equations is proved. The tree structure of types of equations is exposed and the generalized confluence theorem is proved. 
@article{TMF_1995_104_2_a2,
     author = {A. Seeger and W. Lay and S. Yu. Slavyanov},
     title = {Confluence of {Fuchsian} second-order differential equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {233--247},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_2_a2/}
}
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A. Seeger; W. Lay; S. Yu. Slavyanov. Confluence of Fuchsian second-order differential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 2, pp. 233-247. http://geodesic.mathdoc.fr/item/TMF_1995_104_2_a2/