An extremal problem for a class of entire functions

2008 ◽  
Vol 346 (15-16) ◽  
pp. 825-828
Author(s):  
Alexandre Eremenko ◽  
Peter Yuditskii
Keyword(s):  
Extremal Problem ◽  
Entire Functions

ON AN EXTREMAL PROBLEM RELATED TO THE COMPLETENESS OF A SYSTEM OF EXPONENTIALS IN THE DISK

2008 ◽  
Vol 01 (01) ◽  
pp. 15-26 ◽  
Author(s):  
G. G. Braichev ◽  
V. B. Sherstyukov
Keyword(s):  
Extremal Problem ◽  
Entire Functions ◽  
Growth Characteristics ◽  
Canonical Product

In this paper, we pose several problems of finding the extremal ρ-type and the lower ρ-type of the canonical product with real positive zeros having prescribed averaged upper and/or lower ρ-density, ρ ∈ (0; 1). We obtain new results that can be considered as a development of the classical theorems on the connection between different growth characteristics of entire functions and densities of their distributions of zeros.

An extremal problem for operators

1986 ◽  
Vol 84 ◽  
pp. 213-223 ◽  
Author(s):  
Vlastimil Pták
Keyword(s):  
Extremal Problem
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