Multi-Dimensional Analytic Functions for Laplace Equations and Generalized Cauchy–Riemann Equations

Multi-Dimensional Analytic Functions for Laplace Equations and Generalized Cauchy–Riemann Equations

A new concept of projective solution is introduced for the multi-dimensional Laplace equations. We project the field point onto a characteristic vector to obtain a projective variable, which can be used to reduce the Laplace equations to a second-order ordinary differential equation with only a lead...

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Bibliographic Details
Main Authors: Chein-Shan Liu, Zhuojia Fu, Chung-Lun Kuo
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Mathematics
Subjects:
Laplace equations
characteristic vector
projective solutions method
analytic functions
generalized Cauchy–Riemann equations
Online Access:https://www.mdpi.com/2227-7390/13/8/1246
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