Year: 2018
Type: Article
Title: ON OZAKI CLOSE-TO-CONVEX FUNCTIONS
Author: ALLU, VASUDEVARAO
Author: THOMAS, DEREK K.
Author: TUNESKI, NIKOLA
Abstract: Let $f$ be analytic in $\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$ and given by $f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$ . We give sharp bounds for the initial coefficients of the Taylor expansion of such functions in the class of strongly Ozaki close-to-convex functions, and of the initial coefficients of the inverse function, together with some growth estimates.
Publisher: Cambridge University Press (CUP)
Relation: Bulletin of the Australian Mathematical Society
Identifier: oai:repository.ukim.mk:20.500.12188/884
Identifier: http://hdl.handle.net/20.500.12188/884Identifier: 10.1017/s0004972718000989
Identifier: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0004972718000989
