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

Author

Xiao-Jun YANG, SWEILAM, Nasser Hassan, and BAYRAM, Mustafa

Subjects
*ALGEBRAIC equations, *ALGEBRAIC numbers, *ALGEBRAIC fields, *ALGEBRAIC number theory, *HEAT equation, *REACTION-diffusion equations, *LAPLACE distribution
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. [ABSTRACT FROM AUTHOR]

Published
2023
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