Journal
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Volume 38, Issue 1, Pages 365-386Publisher
SPRINGER
DOI: 10.1007/s40840-014-0026-8
Keywords
Convex and starlike functions; Subordination; Strongly starlike; Exponential function; Coefficient estimates; Growth; Distortion; Radius problems
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Funding
- CSIR, New Delhi
- University of Delhi
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Let l(e)* denote the class of analytic functions f in the open unit disk normalized by f (0) = f' (0) - 1 = 0 and satisfying the condition z f' (z)/f (z) < e(z) for vertical bar z vertical bar < 1. The structural formula, inclusion relations, coefficient estimates, growth and distortion results, subordination theorems and various radii constants for functions in the class l(e)* are obtained. In addition, the sharp l(e)*-radii for functions belonging to several interesting classes are also determined.
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