Abstract:
The paper concerns the theory of growth of subharmonic functions of finite order. Main characteristics of growth of ones are indicator and lower indicator. There is a theorem among main results of the paper where new formulas for indicator are showed. A criterium of complete regularity in sense of Levin and Pfluger is demonstrated as application. This criterium is formulated for a fixed ray. It is sharpening of a theorem of B. Ya. Levin. Another theorems attributed to the main results is in-deps elaboration of a theorem of Bernstein. Often under investigation of a subharmonic function it is likened to one that produced by translation of Riesz' measure of initial function to a finite system of rays. New property of the operation of translation are among other results of the paper.