нулевой порядок

Factoring of an Entire Function into Two Equivalent Functions

Authors: Pismennyj R. G.

The article contains the development of the known KrasichkovTernovskii’s theorem about fission on event of the proximate order. Herewith event of the zero order is covered. Proof is realized on the same scheme and is founded on Adamara’s theorem.

Factorization of Entire Symmetrical Functions of Exponential Type

Authors: Shishkin A. B.

Let π be an entire function of minimal type of order 1. The entire function F is called π-symmetric if it is represented in the form of a composition f ◦ π, where the f is an entire function. The article deals with the following question. Can we present every π-symmetric function of exponential type as a product of two functions with a close growth, each of which is itself an entire π-symmetric function?