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ON A CLOSE-TO-CONVEX ANALOGUE OF CERTAIN STARLIKE FUNCTIONS
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 102 / Issue 2 / October 2020
- Published online by Cambridge University Press:
- 22 January 2020, pp. 268-281
- Print publication:
- October 2020
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- Article
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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.
LANDAU’S THEOREM AND MARDEN CONSTANT FOR HARMONIC ν-BLOCH MAPPINGS
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- Journal:
- Bulletin of the Australian Mathematical Society / Volume 84 / Issue 1 / August 2011
- Published online by Cambridge University Press:
- 10 June 2011, pp. 19-32
- Print publication:
- August 2011
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