On angular boundary limits of normal subharmonic functions

Samvel Levonovich Berberyan

On angular boundary limits of normal subharmonic functions

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Authors

Samvel Levonovich Berberyan

Keywords:

subharmonic and logarithmic subharmonic functions, normal functions, angular limits, cluster sets, non-Euclidean distance

Abstract

The paper considers normal subharmonic functions defined in the unit circle. New necessary and sufficient conditions for the existence of angular limits at arbitrary points of the unit circumference are obtained. The obtained conditions are less strong than in the previous results of different authors. Examples confirming the significance of these conditions are given.

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Published

2013-06-30

How to Cite

Berberyan, S. L. (2013). On angular boundary limits of normal subharmonic functions. Eurasian Mathematical Journal, 4(2), 49–56. Retrieved from https://emj.enu.kz/index.php/main/article/view/531