THERMAL SCIENCE

International Scientific Journal

Xiao-Jun Yang

,

Nasser Hassan Sweilam

,

Mustafa Bayram

SPECIAL SOLUTIONS FOR THE LAPLACE AND DIFFUSION EQUATIONS ASSOCIATED WITH THE ALGEBRAIC NUMBER FIELD

ABSTRACT
This article is devoted to the even entire functions, which are the exact solutions for the Laplace and diffusion equations. These functions are considered in the algebraic number field. We guess that the functions have purely real zeros in the entire complex plane. These are proposed as new connections with algebraic number theory and mathematical physics.
KEYWORDS
diffusion equation, Laplace equation, entire functions, algebraic number field, number theory
PAPER SUBMITTED: 2022-11-13
PAPER REVISED: 2022-12-14
PAPER ACCEPTED: 2022-12-19
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI221113006Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 1, PAGES [477 - 481]
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PDF VERSION [DOWNLOAD]
Special solutions for the Laplace and diffusion equations associated with the algebraic number field

© 2024 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