References
Biernacki, M.: Sur l'intégrale des fonctions univalentes. Bull. Acad. Polon. Sci. Ser. Sci. Astronom. Phys.8, 29–34 (1960).
Kaplan, W.: Close-to-convex schlicht functions. Michigan Math. J.1, 169–185 (1952).
Krzyż, J., andZ. Lewandowski: On the intergral of univalent functions. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys.11, 447–448 (1963).
Libera, R.J.: Some classes of regular univalent functions. Proc. Amer. Math. Soc.16, 755–758 (1965).
Nehari, Z.: The Schwarzian derivative and schlicht functions. Bull. Amer. Math. Soc.55, 545–551 (1949).
—: Conformal mapping. New York: McGraw-Hill Book Co. 1952.
Royster, W.C.: On the univalence of a certain integral. Michigan Math. J.12, 385–387 (1965).
Sakaguchi, K.: On a certain univalent mapping. J. Math. Soc. Japan11, 72–75 (1959).
Špaček, L.: Contribution à la théorie des fonctions univalentes. Časop. Pěst. Mat.62, 12–19 (1933).
Strohhäcker, E.: Beiträge zur Theorie der schlichten Funktionen. Math. Z.37, 356–380 (1933).
Author information
Authors and Affiliations
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
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01112451