Inner composition of analytic mappings on the unit disk
نویسندگان
چکیده
منابع مشابه
The Inner Mapping Radius of Harmonic Mappings of the Unit Disk
The class SH consists of univalent, harmonic, and sense-preserving functions f in the unit disk, ∆, such that f = h + g where h(z) = z + ∑∞ 2 akz , g(z) = ∑∞ 1 bkz . Using a technique from Clunie and Sheil-Small, we construct a family of 1-slit mappings in SH by varying ω(z) = g ′(z)/f ′(z). As ω(z) changes, the tip of the slit slides along the negative real axis from the point 0 to −1. In doin...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1991
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171291000236