Asymptotics of Blaschke Products the Counting Function of Zeros of Which Is Slowly Increasing

• Date: 2000
• Main Authors: Zabolotskii, N. V., Заболоцький, М. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4569
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We find the asymptotics as z→ 1 for the Blaschke product with positive zeros the counting function of which n(t) is slowly increasing, i.e., n((t+ 1)/2) ∼ n(t) as t→ 1.