Glasnik matematički, Vol. 37 No. 1, 2002.
Original scientific paper
Koebe domain of starlike functions of complex order with Montel normalization
Yasar Polatoglu
Metin Bolcal
Arzu Sen
Abstract
Let S*(1-b), (b 0 complex) denote the class of functions f(z) = z + a2z2 + ... analytic in D = {z : |z| < 1} which satisfies for z = eiθ D, f(z) / z 0 in D, and
Re[1 + 1/b(z f'(z) / f(z) - 1)] > 0.
The aim of this paper is to give the Koebe domain of the above mentioned class.
Keywords
Univalent functions; starlike functions; starlike functions of comlex order; Montel normalization; Koebe domain
Hrčak ID:
4814
URI
Publication date:
1.6.2002.
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