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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 4, Pages 420–430
(Mi jsfu1091)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/jsfu1091 https://www.mathnet.ru/eng/jsfu/v16/i4/p420
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| Abstract page: | 47 | | Full-text PDF : | 21 | | References: | 12 |
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