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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1996, v.3 no.2, pp.103-111
Park, Suk-Joo

Abstract

Let <TEX>$f(z)=z+\alpha_2 z^2$</TEX>+…+ \alpha_{n}z^n$</TEX>+… be regular and univalent in <TEX>$\Delta$</TEX> = {z : │z│<1}. In this paper, using the proper subordinate functions, we investigate the some relations between subordinations and conditions of functions belonging to subclasses of univalent functions.

keywords
univalent functions, subordinate functions, starlike, convex, close-to-convex and <tex> ${\alpha}$</tex>-spirallike functions

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics