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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
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
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