TY - JOUR

T1 - Confluence of fuchsian second-order differential equations

AU - Seeger, A.

AU - Lay, W.

AU - Slavyanov, S. Yu

PY - 1995/1/1

Y1 - 1995/1/1

N2 - 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. The generalization of Fuchs' theorem for confluent Fuchsian equations is proved. The tree structure of types of equations is shown, and the generalized confluence theorem is proved.

AB - 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. The generalization of Fuchs' theorem for confluent Fuchsian equations is proved. The tree structure of types of equations is shown, and the generalized confluence theorem is proved.

UR - http://www.scopus.com/inward/record.url?scp=84951609177&partnerID=8YFLogxK

U2 - 10.1007/BF02065975

DO - 10.1007/BF02065975

M3 - Article

AN - SCOPUS:84951609177

VL - 104

SP - 950

EP - 960

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -