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Solutions to Beltrami differential equation with prescribed boundary correspondence in some plane domains are given.
The function (p ∈ ℕ = 1,2,3,...) analytic in the unit disk E is said to be in the class if
(, where
and h is convex univalent in E with h(0) = 1. We study the class and investigate whether the inclusion relation holds for p > 1. Some coefficient estimates for the class are also obtained. The class of functions satisfying the condition is also studied.
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