Hotzel, Richard; Jank, Gerhard Algebraic Schwarzian differential equations. (English) Zbl 0849.30021 Ann. Acad. Sci. Fenn., Math. 21, No. 2, 353-366 (1996). Necessary conditions for the Newton polygon associated with a general differential equation algebraic in the unknown function and its Schwarzian derivative are presented in the case of existence of an admissible solution (in Nevanlinna sense). Moreover, an admissible solution is shown to satisfy a stronger version of Nevanlinna’s defect relation. Reviewer: R.Hotzel, G.Jank (Aachen) Cited in 1 Document MSC: 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Keywords:algebraic differential equations; Nevanlinna theory; Schwarzian derivative; admissible solution; Nevanlinna’s defect relation PDFBibTeX XML Full Text: EuDML EMIS