Starlikeness problems for certain analytic functions concerned with subordinations
Complex Variables
2013-03-05 v1
Abstract
Let A_n 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)}\neq0. 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).
Keywords
Cite
@article{arxiv.1303.0510,
title = {Starlikeness problems for certain analytic functions concerned with subordinations},
author = {Hitoshi Shiraishi and Shigeyoshi Owa and Toshio Hayami and Kazuo Kuroki and H. M. Srivastava},
journal= {arXiv preprint arXiv:1303.0510},
year = {2013}
}