Integral representation of one class of entire functions

Author(s)

Integral representation of one class of entire functions Ruslan Khats'

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.

DOI: 10.52737/18291163-2022.14.1-1-9 Armenian Journal of Mathematics, 14(1) 1-9

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Keywords

Paley-Wiener theorem, entire function of exponential type, Ordinary Differential Equations, Schwarz inequality, asymptotic estimate

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