Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1995, v.2 no.2, pp.115-126
Park, Suk-Joo
Park,,
S.
(1995). , 2(2), 115-126.
Abstract
Let A be the class of univalent functions f(z)=z+${\alpha}$$_2$z$^2$+${\alpha}$$_3$z$^3$+…(1.1) which are analytic in the unit disk $\Delta$= {z:│z│<1}. Let S*(p) be the subclass of A composing of functions which are starlike of order $\rho$. A function f(z) belonging to the class A is said to be starlike of order $\rho$ ($\rho$(equation omitted) 0) if and only if z$\^$-l/ f(z) (equation omitted) 0 (z$\in$$\Delta$) and (equation omitted (1.2).(omitted)