most citedStarlikeness problems for certain analytic functions concerned with subordinations

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math.CV2013

Some classes of order α for second-order differential inequalities

Hitoshi Shiraishi, Kazuo Kuroki, Shigeyoshi Owa

For analytic functions f(z) in the open unit disk U with f(0)=f'(0)-1=0, S. S. Miller and P. T. Mocanu (Integral Transform. Spec. Funct. 19(2008)) have considered some sufficient p…

math.CV2013★ 1 cited

Starlikeness problems for certain analytic functions concerned with subordinations

Hitoshi Shiraishi, Shigeyoshi Owa, Toshio Hayami +2

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…