Skip to main content
SpringerLink
Log in

Curvature and functions with bounded boundary rotation

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Goluzin, G.M.: Geometric Theory of Functions of a Complex Variable. Translations of Mathematical Monographs26, pp. 599–602. Providence, Rhode Island: American Mathematical Society 1969

    Google Scholar 

  2. Korickii, G.V.: On the curvature of level lines and of their orthogonal trajectories in conformal mappings. Mat. Sb.37 (79), 103–116 (1955) [Russian]

    Google Scholar 

  3. Noonan, J.W.: Curvature and radius of curvature for functions with bounded boundary rotation. Canad. J. Math.25, 1015–1023 (1973)

    Google Scholar 

  4. Paatero, V.: Über die konforme Abbildung von Gebieten deren Ränder von beschränkter Drehung sind. Ann. Acad. Sci. Fenn. Ser. AI33, 1–79 (1931)

    Google Scholar 

  5. Pfluger, A.: Functions of bounded boundary rotation and convexity. J. Analyse Math.30, 437–451 (1976)

    Google Scholar 

  6. Pfluger, A., Boutellier, R.: Some extremal problems for functions of bounded boundary rotation. Israel J. Math. (to appear)

  7. Singh, V.: Bounds on the curvature of level lines under certain classes of univalent and locally univalent mappings. Indian J. Pure Appl. Math. (2)10, 129–144 (1979)

    Google Scholar 

  8. Zdierkiewiez, J.: Sur la courbure de l'image du rayon dans la classeS c α des fonctions convexes d'ordre α. Comment. Math. Prace Mat.19, 415–419 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Imperial College, London, England

    Roman Boutellier

Authors
  1. Roman Boutellier
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was supported by a grant of the “Schweizerische Nationalfonds”. The author would like to thank A. Pfluger for several substantial improvements.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boutellier, R. Curvature and functions with bounded boundary rotation. Math Z 177, 395–400 (1981). https://doi.org/10.1007/BF01162071

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01162071

Keywords

Search

Navigation