Starlikeness problems for certain analytic functions concerned with subordinations
Abstract
Let An be the class of functions f(z) which are analytic in the open unit disk U with f(0)=0, f'(0)=1, f"(0)=f"'(0)=...=f(n)=0 and f(n+1)≠0. Applying the results due to S. S. Miller (J. Math. Anal. Appl. 65(1978), 289-305), some interesting starlikeness problems concerned with subordinations are discussed. The results in the paper are extensions of results by M. Obradovi\'c (Hokkaido Math. J. 27(1998), 329-335).
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