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Currently displaying 1 – 2 of 2

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On neighbourhoods of univalent starlike functions

Richard Fournier — 1986

Annales Polonici Mathematici

On a radius problem concerning a class of close-to-convex functions

Richard Fournier — 1995

Banach Center Publications

The problem of estimating the radius of starlikeness of various classes of close-to-convex functions has attracted a certain number of mathematicians involved in geometric function theory ([7], volume 2, chapter 13). Lewandowski [11] has shown that normalized close-to-convex functions are starlike in the disc $| z | < 4 \sqrt 2 - 5$ . Krzyż [10] gave an example of a function $f (z) = z + \sum_{n = 2}^{\infty} a_{n} z^{n}$ , non-starlike in the unit disc , and belonging to the class H = f | f’() lies in the right half-plane. More generally let H* = f | f’() lies in...

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