On location in a half-plane of zeros of perturbed first order entire functions

We consider the entire functions h(z) = X∞ k=0 akz k k! and h~(z) = X∞ k=0 a~kz k k! (a0 = ~a0 = 1; z, ak, a~k ∈ C, k = 1, 2, . . .), provided X∞ k=0 |ak| 2 < ∞, X∞ k=0 |a~k| 2 < ∞ and all the zeros of h(z) are in a half-plane. We investigate the following problem: how small should be the quan...

Full description

Bibliographic Details
Main Author: Gil Michael
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Technical Sciences Čačak, Serbia 2019-01-01
Series:Mathematica Moravica
Subjects:
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2019/1450-59321901051G.pdf