Abstract
Bieberbach’s theorem was a fundamental advance in the study of injective holomorphic functions on \(\mathbb {D}\), the inverses of Riemann map** function. His conjecture motivated work for much of the 20th century. These developments, and de Brange’s proof of the Bieberbach conjecture, are treated here.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Beals, R., Wong, R.S.C. (2023). Univalent functions and de Branges’s theorem. In: More Explorations in Complex Functions. Graduate Texts in Mathematics, vol 298. Springer, Cham. https://doi.org/10.1007/978-3-031-28288-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-031-28288-1_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-28287-4
Online ISBN: 978-3-031-28288-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)