Journal
INTERNATIONAL JOURNAL OF MATHEMATICS
Volume 25, Issue 9, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129167X14500906
Keywords
Convex and starlike functions; lemniscate of Bernoulli; subordination; coefficient estimates; growth; distortion; radius problems
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Let S*(RL) denote the class of all analytic functions f in the open unit disk with the normalizations f(0) = f'(0) - 1 = 0 such that zf'(z)/f(z) lies in the interior of the left-half of the shifted lemniscate of Bernoulli ((x-root 2)(2) + y(2))(2) - 2((x-root 2)(2) - y(2)) = 0. In this paper, we investigate the geometric properties of functions in this class and compute the S*(RL)-radius for functions belonging to several interesting classes.
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