On entire functions from the Laguerre-Polya I class with non-monotonic second quotients of Taylor coefficients

For an entire function $f(z) = \sum_{k=0}^\infty a_k z^k, a_k>0,$ we define its second quotients of Taylor coefficients as $q_k (f):= \frac{a_{k-1}^2}{a_{k-2}a_k}, k \geq 2.$ In the present paper, we study entire functions of order zero with non-monotonic second quotients of Taylor coefficients....

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Bibliographic Details
Main Authors: T. H. Nguyen, A. Vishnyakova
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2021-12-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/253
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