Risteski, Ice B. Generalized reduction of the Poincaré differential equation to Cauchy matrix form. (English) Zbl 0946.34009 Bull. Belg. Math. Soc. - Simon Stevin 7, No. 1, 53-60 (2000). Summary: Using the transformation of H. L. Turrittin [Reduction of ordinary differential equations to the Birkhoff canonical form, Trans. Am. Math. Soc. 107, 485-507 (1963; Zbl 0115.07002)], the author proves that the Poincaré differential equation of \(n\)th-order with multiple regular singularities, can be reduced to the Cauchy matrix form. MSC: 34A30 Linear ordinary differential equations and systems 15A18 Eigenvalues, singular values, and eigenvectors Keywords:Poincaré differential equation; multiple regular singularities; Cauchy matrix form Citations:Zbl 0115.07002 PDFBibTeX XMLCite \textit{I. B. Risteski}, Bull. Belg. Math. Soc. - Simon Stevin 7, No. 1, 53--60 (2000; Zbl 0946.34009)