CEU eTD Collection (2014); Romanchuk, Viktoriya Alekseevna: The Bieberbach Conjecture

CEU Electronic Theses and Dissertations, 2014
Author Romanchuk, Viktoriya Alekseevna
Title The Bieberbach Conjecture
Summary The now-proven Bieberbach conjecture (1916) is one of the most famous and chal- lenging problems of mathematics. It considers the class S of univalent functions of the form of Taylor series.
It asserts that for every f from S and every n corresponding coefficients are smaller or equal than n.
This conjecture was not settled for nearly 70 years. Though there were many at- tempts, the best results that were achieved were not general. It inspired development of lots of complicated algorithms and tools that became useful in theory of univalent functions.
Supervisor Karoly Boroczky
Department Mathematics MSc
Full texthttps://www.etd.ceu.edu/2014/romanchuk_viktoriya.pdf

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