Skip to main content
Log in

The close-to-convexity and univalence of an integral

  • 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

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Biernacki, M.: Sur l'intégrale des fonctions univalentes. Bull. Acad. Polon. Sci. Ser. Sci. Astronom. Phys.8, 29–34 (1960).

    Google Scholar 

  2. Kaplan, W.: Close-to-convex schlicht functions. Michigan Math. J.1, 169–185 (1952).

    Google Scholar 

  3. Krzyż, J., andZ. Lewandowski: On the intergral of univalent functions. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys.11, 447–448 (1963).

    Google Scholar 

  4. Libera, R.J.: Some classes of regular univalent functions. Proc. Amer. Math. Soc.16, 755–758 (1965).

    Google Scholar 

  5. Nehari, Z.: The Schwarzian derivative and schlicht functions. Bull. Amer. Math. Soc.55, 545–551 (1949).

    Google Scholar 

  6. —: Conformal mapping. New York: McGraw-Hill Book Co. 1952.

    Google Scholar 

  7. Royster, W.C.: On the univalence of a certain integral. Michigan Math. J.12, 385–387 (1965).

    Google Scholar 

  8. Sakaguchi, K.: On a certain univalent mapping. J. Math. Soc. Japan11, 72–75 (1959).

    Google Scholar 

  9. Špaček, L.: Contribution à la théorie des fonctions univalentes. Časop. Pěst. Mat.62, 12–19 (1933).

    Google Scholar 

  10. Strohhäcker, E.: Beiträge zur Theorie der schlichten Funktionen. Math. Z.37, 356–380 (1933).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper represents part of the author's doctoral thesis written at the University of Kansas under the direction of ProfessorS. M. Shah. The research was supported by NSF grant GP-4311.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Causey, W.M. The close-to-convexity and univalence of an integral. Math Z 99, 207–212 (1967). https://doi.org/10.1007/BF01112451

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01112451

Navigation