THERMAL SCIENCE

International Scientific Journal

Xiao-Jun YangORCID

,

Mahmoud Abdel-Aty

,

Lu-Lu Geng

A NEW ODD ENTIRE FUNCTION OF ORDER ONE ARISING IN THE HEAT PROBLEM

ABSTRACT
In this article we suggest a new odd entire function of order one. We discover that it is the solution of the heat equation. We propose a new conjecture that this function has only real zeros. The obtained result gives a connection with the heat problem and number theory.
KEYWORDS
heat equation, odd entire function, heat equation, real zeros, number theory
PAPER SUBMITTED: 2022-11-05
PAPER REVISED: 2022-12-20
PAPER ACCEPTED: 2022-12-27
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI221105010Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE No. 1, PAGES [505 - 512]
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A new odd entire function of order one arising in the heat problem

© 2026 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