Abstract
The class Sn consists of univalent, harmonic, and sense-preserving functions J unit disk δ such that where . Using a technique from Clinic and Shell-Small, we construct a family of I-slit mappings in Sp by varying . As W(z) changes, the tin of the slit slides along the negative real axis from the point U to - 1 In doing so. we establish that the inner mapping radius p(f) can be as large as 4. In addition, we show that the inner mapping radius for functions in can be as small as 1/2 and as large as 2.
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More From: Complex Variables, Theory and Application: An International Journal
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