On the derivative of close-to-convex functions

J. Krzyż

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Displaying similar documents to “On the derivative of close-to-convex functions”

On the definition of a close-to-convex function.

Goodman, A.W., Saff, E.B. (1978)

International Journal of Mathematics and Mathematical Sciences

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Variability regions of close-to-convex functions

Takao Kato, Toshiyuki Sugawa, Li-Mei Wang (2014)

Annales Polonici Mathematici

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M. Biernacki gave in 1936 concrete forms of the variability regions of z/f(z) and zf'(z)/f(z) of close-to-convex functions f for a fixed z with |z|<1. The forms are, however, not necessarily convenient to determine the shape of the full variability region of zf'(z)/f(z) over all close-to-convex functions f and all points z with |z|<1. We propose a couple of other forms of the variability regions and see that the full variability region of zf'(z)/f(z) is indeed the complex plane...

The radius of convexity for the class of Janowski convex functions of complex order.

Polatoǧlu, Yaşar, Bolcal, Metin (2002)

Matematichki Vesnik

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On the derivative of hyperbolically convex functions.

Mejía, Diego, Pommerenke, Christian (2002)

Annales Academiae Scientiarum Fennicae. Mathematica

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Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions

Kanas, Stanislawa (1999)

Serdica Mathematical Journal

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In this paper an alternative characterization of the class of functions called k -uniformly convex is found. Various relations concerning connections with other classes of univalent functions are given. Moreover a new class of univalent functions, analogous to the ’Mocanu class’ of functions, is introduced. Some results concerning this class are derived.