ON PROPERTIES OF COMPLEX ORDER FOR THE CLASSES OF UNIVALENT FUNCTIONS

Park, Suk-Joo; Park, Suk-Joo

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.2 No.2

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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

1995, v.2 no.2, pp.115-126

Park, Suk-Joo

Park,, S. (1995). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 2(2), 115-126.

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Abstract

Let A be the class of univalent functions f(z)=z＋<TEX>${\alpha}$</TEX><TEX>$_2$</TEX>z<TEX>$^2$</TEX>＋<TEX>${\alpha}$</TEX><TEX>$_3$</TEX>z<TEX>$^3$</TEX>＋…(1.1) which are analytic in the unit disk <TEX>$\Delta$</TEX>= {z：│z│＜1}. Let S＊(p) be the subclass of A composing of functions which are starlike of order <TEX>$\rho$</TEX>. A function f(z) belonging to the class A is said to be starlike of order <TEX>$\rho$</TEX> (<TEX>$\rho$</TEX>(equation omitted) 0) if and only if z<TEX>$\^$</TEX>-l/ f(z) (equation omitted) 0 (z<TEX>$\in$</TEX><TEX>$\Delta$</TEX>) and (equation omitted (1.2).(omitted)

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Article Contents

Vol.2 No.2

Abstract

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