Level sets and the distribution of zeros of entire functions.

George Csordás, Wayne Smith

Type: Article

Publication Date: 2000-01-01

Citations: 6

DOI: https://doi.org/10.1307/mmj/1030132597

Abstract

The purpose of this paper is to investigate the connection between the level set structure of a certain class of even, real entire functions f and the distribution of zeros of some functions formed from f . In particular it is shown that for all nonzero real numbers t, the entire functions f(z + t)± f(z − t) have infinitely many zeros on the imaginary axis.

Locations

The Michigan Mathematical Journal - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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Works Cited by This (5)

Action	Title	Year	Authors
+	Geometry of Polynomials	1949	Morris Marden
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+	The roots of trigonometric integrals	1950	N.G. de Bruijn
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