Starlikeness of sections of univalent functions
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Let S be the class of all normalized analytic
and univalent functions in the unit disk D. In this paper, we
determine condition so that each section sn(f, z) of f ∈ S is
starlike in the disk |z| < rn. In particular, sn(f, z) is starlike
in |z| ≤ 1/2 for n ≥ 47.
Keywords:
Coefficient inequality / analytic / Hadamard convolution / univalent and starlike functionsSource:
Rocky Mountain Journal of Mathematics, 2014, 44, 3, 1003-1014Publisher:
- Rocky Mountain Mathematics Consortium
Funding / projects:
- Function spaces and their operators (RS-MESTD-Basic Research (BR or ON)-174017)