Authors
A Vasudevarao, H Yanagihara
Publication date
2013/12
Journal
Computational Methods and Function Theory
Volume
13
Pages
613-634
Publisher
Springer Berlin Heidelberg
Description
For , let be the class of analytic functions in the unit disk with satisfying in . Then, it is known that every is univalent in . Let . The sharp distortion and growth estimates for the subclass were known and many other properties are exclusively studied in Fourier and Ponnusamy (Complex Var. Elliptic Equ. 52(1):1–8, 2007), Obradović and Ponnusamy ( Complex Variables Theory Appl. 44:173–191, 2001) and Obradović and Ponnusamy (J. Math. Anal. Appl. 336:758–767, 2007). In contrast to the subclass , the full class has been less well studied. The sharp distortion and growth estimates for the full class are still unknown. In the present article, we shall prove the sharp estimate for the full class . Furthermore, we shall determine the region of variability for any fixed . This …
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Scholar articles
A Vasudevarao, H Yanagihara - Computational Methods and Function Theory, 2013