Asymptotic Behavior of Entire Functions with Exceptional Values in the Borel Relation

• Date: 2001
• Main Authors: Filevych, P. V., Филевич, П. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4273
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let M f(r) and μ f (r) be, respectively, the maximum of the modulus and the maximum term of an entire function f and let l(r) be a continuously differentiable function convex with respect to ln r. We establish that, in order that ln M f(r) ∼ ln μ f (r), r → +∞, for every entire function f such that...