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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Goodman, A.W., Saff, E.B. (1978)
International Journal of Mathematics and Mathematical Sciences
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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...
Polatoǧlu, Yaşar, Bolcal, Metin (2002)
Matematichki Vesnik
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Mejía, Diego, Pommerenke, Christian (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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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.
Ma, Wancang (1990)
International Journal of Mathematics and Mathematical Sciences
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J. Krzyż (1964)
Colloquium Mathematicae
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S. Owa (1986)
Matematički Vesnik
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Fukui, Seichi (1997)
International Journal of Mathematics and Mathematical Sciences
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Noor, Khalida Inayat (1987)
International Journal of Mathematics and Mathematical Sciences
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K. S. Padmanabhan, R. Manjini (1986)
Publications de l'Institut Mathématique
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Padmanabhan, K.S., Jayamala, M. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Nasr, M.A. (1986)
International Journal of Mathematics and Mathematical Sciences
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Noor, Khalida I., Al-Madifer, Hailah (1984)
International Journal of Mathematics and Mathematical Sciences
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