On Zeros of One Class of Functions Analytic in a Half-Plane

• Date: 2003
• Main Authors: Vynnyts’kyi, B. V., Sharan, V.L., Винницький, Б. В., Шаран, В. Л.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3998
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We describe sequences of zeros of functions f ≢ 0 analytic in the half-plane \({\mathbb{C}}_ + = \{ z:\operatorname{Re} z >0\}\) and satisfying the condition \((\exists {\tau}_1 \in (0;1))(\exists c_1 >0)(\forall z \in {\mathbb{C}}_ + ):|f(z)| \leqslant c_1 \exp ({\eta}^{\tau }_1...