Abstract
We are now ready to apply the General Coefficient Theorem (Theorem 4.1) to prove many of the standard results on univalent functions. To be sure in many of these, particularly the most elementary ones, there is no mention of homotopy conditions corresponding to those which appear in the General Coefficient Theorem. The reason is that in these cases the homotopy conditions are automatically satisfied.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 1958 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Jenkins, J.A. (1958). Applications of the General Coefficient Theorem. Univalent Functions. In: Univalent Functions and Conformal Mapping. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 18. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-34447-7_6
Download citation
DOI: https://doi.org/10.1007/978-3-662-34447-7_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-34177-3
Online ISBN: 978-3-662-34447-7
eBook Packages: Springer Book Archive