| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6417551 | Journal of Mathematical Analysis and Applications | 2016 | 13 Pages |
Abstract
In this paper, we study entire functions of order zero with positive Taylor coefficients and investigate sufficient or necessary conditions for such functions to have only real zeros. We answer the following question: for which values of a>1 and mâ¥1 an entire function Ïa,m(z)=âk=0âzkak2(k!)m and its Taylor sections belong to the Laguerre-Pólya class?
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Anton Bohdanov, Anna Vishnyakova,