Integral representation of one class of entire functions

Armenian Journal of Mathematics

article

Ruslan Khats¹ 

[1] Drohobych Ivan Franko State Pedagogical University

关键词: Paley-Wiener theorem;    entire function of exponential type;    differential equation;    Schwarz inequality;    asymptotic estimate;   

DOI  :  10.52737/18291163-2022.14.1-1-9

学科分类：环境科学（综合）

来源: National Academy of Sciences of the Republic of Armenia

【 摘 要 】

In this paper, we study an integral representation of one class of entire functions. Conditions for the existence of this representation in terms of certain solutions of some differential equations are found. We obtain asymptotic estimates of entire functions from the considered class of functions. We also give examples of entire functions from this class.

【 授权许可】

CC BY