Skip to main content

On Level Sets of Quasiconformal Mappings

  • Chapter
Value Distribution Theory and Related Topics

Part of the book series: Advances in Complex Analysis and Its Applications ((ACAA,volume 3))

  • 317 Accesses

Abstract

In the present article some analogs and generalizations of the tangent variation principle are given for quasiconformal and continuously differentiable mappings.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ahlfors L., Untersuchungen zur Theorie der konformen Abbildungen und der ganzen Funktionen, Acta Soc. Sci. Fenn. 1, n. 9 (1930), 1–40.

    MATH  Google Scholar 

  2. Ahlfors L., Zur Theorie der Uberlagerungsflachen, Acta Math. 65 (1935), 157–194.

    MATH  Google Scholar 

  3. Barsegian G.A., New results in the theory of meromorphic functions, Dokl. Acad. Nauk SSSR 238 (1978), no. 4, 777–780. (in Russian, translated in Soviet Math. Dokl.)

    Google Scholar 

  4. Barsegian G.A., Geometry of meromorphic functions, Mat. Sb. (N.S.) 114(156) (1981), n. 2, 179–225, 335. (in Russian, translated in Math. USSR Sbornic)

    MathSciNet  Google Scholar 

  5. Barsegian G.A., The tangent variation principle in complex analysis, Izv. Nats. Akad. Nauk Armenii Mat. 27 (1992), n. 3, 39–65. (in Russian, translated in J. Contemp. Math. Anal. 27 (1992), no. 3, 34–56)

    MATH  MathSciNet  Google Scholar 

  6. Barsegian G.A., Gamma-lines: on the geometry of real and complex functions, Taylor and Francis, London, New York, 2002.

    Google Scholar 

  7. Hayman W., Multivalent functions, Cambridge University Press, Cambridge, 1958.

    Google Scholar 

  8. Hayman W. and Wu J.M.G., Level sets of univalent functions, Comment. Math. Helv. 56 (1981), 366–403.

    MathSciNet  Google Scholar 

  9. Lelong-Ferrand J., Représentation conforme et transformations à intégrale de Dirichlet bornée, Gauthier-Villars, Paris, 1955.

    Google Scholar 

  10. Nevanlinna R., Eindeutige analitische Funktionen, Springer, Berlin, 1936.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Kluwer Academic Publishers

About this chapter

Cite this chapter

Sukiasyan, G.A. (2004). On Level Sets of Quasiconformal Mappings. In: Barsegian, G., Laine, I., Yang, C.C. (eds) Value Distribution Theory and Related Topics. Advances in Complex Analysis and Its Applications, vol 3. Springer, Boston, MA. https://doi.org/10.1007/1-4020-7951-6_2

Download citation

  • DOI: https://doi.org/10.1007/1-4020-7951-6_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4020-7950-4

  • Online ISBN: 978-1-4020-7951-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics