Turkish Journal of Mathematics
DOI
-
Abstract
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 ( z \frac{f'(z)}{f(z)}) < \alpha, (z \in 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).
Keywords
Starlike and convex functions, distortion theorem, coefficient inequality
First Page
221
Last Page
228
Recommended Citation
POLATOĞLU, YAŞAR; BOLCAL, METİN; ŞEN, ARZU; and DUMAN, EMEL YAVUZ (2007) "An Investigation on a Subclass of p-Valently Starlike Functions in the Unit Disc," Turkish Journal of Mathematics: Vol. 31: No. 2, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol31/iss2/9
