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
Park,,
S.
(1996). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 3(2), 103-111.
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
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univalent functions,
subordinate functions,
starlike,
convex,
close-to-convex and <tex> ${\alpha}$</tex>-spirallike functions