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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 4, Pages 420–430 (Mi jsfu1091)  

Analog of the Weierstrass theorem and the Blaschke product for $A(z)$-analytic functions

Muhayyo Ne'matillayeva, Shohruh Khursanov

National University of Uzbekistan, Tashkent, Uzbekistan
References:
Abstract: We consider $A(z)$-analytic functions in the case when $A( z )$ is an antiholomorpic function. For $A( z )$-analytic functions analogs of the Weierstrass theorem and of the Blaschke theorem are proved.
Keywords: $A(z)$-analytic function, Cauchy's integral theorem, Weierstrass theorem, Jensen’s theorem, Blaschke theorem.
Received: 10.07.2022
Received in revised form: 15.09.2022
Accepted: 20.10.2022
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: English
Citation: Muhayyo Ne'matillayeva, Shohruh Khursanov, “Analog of the Weierstrass theorem and the Blaschke product for $A(z)$-analytic functions”, J. Sib. Fed. Univ. Math. Phys., 16:4 (2023), 420–430
Citation in format AMSBIB
\Bibitem{Ne’Khu23}
\by Muhayyo~Ne'matillayeva, Shohruh~Khursanov
\paper Analog of the Weierstrass theorem and the Blaschke product for $A(z)$-analytic functions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2023
\vol 16
\issue 4
\pages 420--430
\mathnet{http://mi.mathnet.ru/jsfu1091}
\edn{https://elibrary.ru/CCKLPL}
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