Fatou’s Theorem for A(z)-Analytic Functions
N. M. ZhabborovBelorussian-Uzbek Joint Intersectoral Institute of Applied Technical Qualifications in Tashkent, Kibraisky district, 100071, Tashkent, UzbekistanBehzod HusenovBukhara State University, 705018, Bukhara, Uzbekistan
ABI
Аннотация
We consider $$A(z)$$ -analytic functions in case when $$A(z)$$ is anti-analytic function. This paper investigates the behavior near the boundary of the derivative of the function, $$A(z)$$ -analytic inside the $$A(z)$$ -lemniscate and with a bounded change of it at the boundary. Thus, this paper introduces the complex Lipschitz condition for $$A(z)$$ -analytic functions and proves Fatou’s theorem for $$A(z)$$ -analytic functions.
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