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Chapter 7 Sufficient conditions for univalence and quasiconformal extendibility of analytic

by H2(2) for the class S q ( ) of bi-univalent functions using q-differential operator

analytic univalent function

at the infinity and generalize univalent convex functions defined in the exterior of the unit disc. We prove sharp

)such that the function h+e iθ g is convex in D. In this article, we first disprove a more flexible conjecture: “Let f

analytic univalent function

functions in the disk behave like O(log-2(n)/n) as n → ∞ assuming that the image of the unit disk under

Chapter 7 Sufficient conditions for univalence and quasiconformal extendibility of analytic

} assuming that the Taylor coefficients of the function log(zf′(z)/f(z)) at zero are nonnegative. We also

We generalize a problem examined by Duren on the univalence of a family of n-symmetric functions

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