Y. POLATOĞLU, M. BOLCAL, A. ŞEN, E. YAVUZ

An investigation on a subclass of p- valently starlike functions in the unit disc

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

Let $A_p$ denote the class of functions of the form f(z) = $z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+· · ·$ which are regular and p-valent in the open unit disc D = {z : |z| < 1}. Let $M_p(alpha)$ be the subclass of $A_p$ consisting of functions f(z) which satisfy $Re(zfrac{f'(z)}{f(z)} < alpha$, $(z epsilon D)$ for some real $alpha(alpha > 1)$. The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class $M_p(alpha)$.

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