Estimates of univalent radii in some classes of functions
Authors:
Abstract
Let S(k), k=1, 2, . . . . is the class of functions, regular and univalent in the disk |z| < 1. Sα(k) is a subclass of functions S(k). This class of functions is non-empty for any αk, 0 < αk ≤ 2/k. …
Область исследования:
(Archived) Without section
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None
References
- Goluzin G. M. Geometric theory of functions of a complex variable. Nauka, 1966.
- Iliev L. Application of one theorem of G. M. Goluzin on one-leaf functions. DAN SSSR, vol. 19, No. 4, 1949.
- Iliev L. On finite sums of one-leaf functions. DAN SSSR, vol. 70, No. 1, 1950.
- Iliev L. Theorems on thrice symmetric one-leaf functions. DAN SSSR, vol. 84, No. 1, 1952.
- Heiman V. K. Multileaf functions. FL IL, 1960.
- Reade M. J. Math, of Japan, 1963.
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