THERMAL SCIENCE

International Scientific Journal

AN EVEN ENTIRE FUNCTION OF ORDER ONE IS A SPECIAL SOLUTION FOR A CLASSICAL WAVE EQUATION IN ONE-DIMENSIONAL SPACE

ABSTRACT
In this article we consider an even entire function of order one as the solution of the classical wave equation in one-dimensional space. We suggest a conjecture that this function has only purely real zeros in the entire complex plane. This is given as a new prospective on a nice connection with number theory and wave equation.
KEYWORDS
PAPER SUBMITTED: 2022-11-11
PAPER REVISED: 2022-12-15
PAPER ACCEPTED: 2022-12-17
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI221111008Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 1, PAGES [491 - 495]
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© 2023 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence