On Zeros of an Entire Function Having an Integral Representation and Coinciding With Exponential-Type Quasipolynoms

Abstract

In this paper, we study zeros of an entire function of the following special form: which is a linear combination of functions previously studied in [18], [19], [20],[21] associated with regular differential operators of the third and first orders on an interval.

Asymptotics of Zeros of an Entire Function With an Integral Representation, Connected by a Regular Loaded Differentiation Operator on an Interval

“…Meromorphic functions of completely regular growth in the upper half-plane with respect to the growth function are studied in [10]. The issues of the location of zeros of an entire function: on one ray, on a straight line, on several rays, in an angle or arbitrarily in the complex plane have been studied in numerous works [1], [11] [19].…”