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Schwarz lemma applications
International Journal of Statistics and Applied Mathematics · 2020 · Vol. 5(3) · pp. 42–46
Abstract
In this Paper, we have studied the Schwarz’s lemma and arbitrary analytic functions on the open unit disk D and we have proved that range of all the analytic functions on the open unit disk always lies in the closed annulus with centre origin and inner and outer radius depends on the modulus of the function at origin and also discuss its one more application.
Analytic and geometric function theoryHolomorphic and Operator TheoryUnit diskAnalytic functionAnnulus (botany)Lemma (botany)MathematicsRADIUSUnit (ring theory)Mathematical analysisRange (aeronautics)Function (biology)
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