Univalent logharmonic ring mappings

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A Note on Logharmonic Mappings

where (a) m is nonnegative integer, (b) β= a(0)(1+a(0))/(1−|a(0)|2) and therefore, β >−1/2, (c) h and g are analytic in U , g(0)= 1, and h(0)≠ 0. Univalent logharmonic mappings on the unit disc have been studied extensively. For details see [1, 2, 3, 4, 5, 6, 7, 8]. Suppose that f is a univalent logharmonic mapping defined on the unit disc U . Then, if f(0) = 0, the function F(ζ) = log(f (eζ)) ...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1993

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1993-1195710-1