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SPECIAL SOLUTIONS FOR THE LAPLACE AND DIFFUSION EQUATIONS ASSOCIATED WITH THE ALGEBRAIC NUMBER FIELD
Journal article   Open access  Peer reviewed

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

Xiao-Jun Yang, Nasser Hassan Sweilam and Mustafa Bayram
Thermal science, Vol.27(1B), pp.477-481
01/01/2023
DOI: https://doi.org/10.2298/TSCI221113006Y

Abstract

Physical Sciences Science & Technology Thermodynamics
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 alge-braic 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.
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https://doi.org/10.2298/TSCI221113006YView
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