APPLICATION OF DIFFERENTIAL SUBORDINATION FOR STARLIKENESS CRITERIA FOR ANALYTIC FUNCTIONS

摘要

Let for a fixed n E N. be the set of all analytic functions in the unit disc A = {z E C: },z1 < 11, of the form 00 f (z) z + E akzk. k=n+1 In this paper we define the class 1.4(a, A, p) by Z4,,.(cx, A, /.1) {f E A,,, : (1 , — a) + ( ) 1-1-1‘ (z) — 1 f (z) f (z) 0, a > 0 and 0 < A < 1, and find conditions on a, /2, A and 0(0 < < 1) for which /.4,(0:, ,u) be included in S.7,, (0), the class of all starlike functions of order 0.