This is a preview of subscription content, log in via an institution to check access.
Literature Cited
I. A. Aleksandrov, “Questions on the connectivity of the set of values of functionals,” Vopr. Matem., Tr. Tomsk. Univ.,165, 50–76 (1961).
G. M. Goluzin, Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).
G. M. Goluzin, “On, distortion theorems in the theory of conformal mappings,” Matem. Sb.,1, 127–135 (1936)
V. Ya. Gutlyanskii, “Parametric representations of univalent functions,” Dokl. Akad. Nauk SSSR,194, No. 4, 750–753 (1970).
G. Herglotz, “Über Potenzreihen mit positiven reelem Tiel im Einheitskieis,” Leipz. Ber.,63 (1911).
K. Caratheodory, “Über den Variabilitatsbereich der Fourischen Konstanten von positiv harmonischen Funktionen,” Rend. Circolo Mot. Palermo,32, 193–217 (1911).
I. A. Aleksandrov, S. A. Kopanev, “On the mutual growth of the modulus of a univalent function and the modulus of its derivative,” Sib. Matem. Zh.,7, No. 1, 23–30 (1966).
Additional information
Translated from Siberskii Matematicheskii Zhurnal, Vol. 14, No. 4, pp. 867–872, July–August 1973.
Rights and permissions
About this article
Cite this article
Gutlyanskii, V.Y., Shchepetev, V.A. Distortion and rotation theorems for the class of holomorphic univalent functions. Sib Math J 14, 603–607 (1973). https://doi.org/10.1007/BF00967556
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967556