Muhayyo Ne'matillayeva, Shohruh Khursanov, “Analog of the Weierstrass theorem and the Blaschke product for <nobr>$A(z)$</nobr>-analytic functions”, J. Sib. Fed. Univ. Math. Phys., 2023, Volume 16, Issue 4,Pages <nobr>420

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.

UDC: 517.54

Received: 10.07.2022
Received in revised form: 15.09.2022
Accepted: 20.10.2022

Language: English