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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.2 No.2

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ON PROPERTIES OF COMPLEX ORDER FOR THE CLASSES OF UNIVALENT FUNCTIONS

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Dept. of Mathematics Education, College of Education, Chosun National Univ.)
Park, Suk-Joo. (1995). ON PROPERTIES OF COMPLEX ORDER FOR THE CLASSES OF UNIVALENT FUNCTIONS. 한국수학교육학회지시리즈B:순수및응용수학, 2(2), 115-126.

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)

keywords

한국수학교육학회지시리즈B:순수및응용수학

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