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ON A CLOSE-TO-CONVEX ANALOGUE OF CERTAIN STARLIKE FUNCTIONS
Published online by Cambridge University Press: 22 January 2020
Abstract
For $f$ analytic in the unit disk $\mathbb{D}$, we consider the close-to-convex analogue of a class of starlike functions introduced by R. Singh [‘On a class of star-like functions’, Compos. Math.19(1) (1968), 78–82]. This class of functions is defined by $|zf^{\prime }(z)/g(z)-1|<1$ for $z\in \mathbb{D}$, where $g$ is starlike in $\mathbb{D}$. Coefficient and other results are obtained for this class of functions.
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 102 , Issue 2 , October 2020 , pp. 268 - 281
- Copyright
- © 2020 Australian Mathematical Publishing Association Inc.
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