On zeros of functions of given proximate formal order analytic in a half-plane

• Date: 1999
• 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 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4679
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We describe sequences of zeros of functionsf≢0 that are analytic in the half-plane ℂ+={z:Rez> and satisfy the condition $$\forall \varepsilon > 0\exists c_1 \in (0; + \infty )\forall z \in \mathbb{C}_{\text{ + }} :\left| {f(z)} \right| \leqslant c_1 \exp \left( {(\sigma + \varepsilon...