CEU eTD Collection (2017); Yürük, Oguzhan: A geometric relation between the roots and critical points of finite blaschke products: gauss-lucas theorem in hyperbolic geometry

CEU Electronic Theses and Dissertations, 2017
Author Yürük, Oguzhan
Title A geometric relation between the roots and critical points of finite blaschke products: gauss-lucas theorem in hyperbolic geometry
Summary This paper is mainly on extending the results on geometry of complex polynomials in Euclidean geometry to hyperbolic geometry. The aim of this thesis is to investigate the Blaschke products, which mimic the polynomials for Hyperbolic geometry and present results on finite Blaschke products analogous to the Gauss-Lucas theorem.
Supervisor Róbert Szőke
Department Mathematics MSc
Full texthttps://www.etd.ceu.edu/2017/yuruk_oguzhan.pdf

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