Hyperbolic harmonic functions in complex Cl_(0, n+1)

Xiao-ke Chai; Xiao-li Bian

doi:10.1117/12.2627494

22 April 2022 Hyperbolic harmonic functions in complex Cl_(0, n+1)

Xiao-ke Chai, Xiao-li Bian

Proceedings Volume 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021); 121633T (2022) https://doi.org/10.1117/12.2627494
Event: International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 2021, Nanjing, China

Abstract

Functions in complex Cl_(0, n+1) are important candidates to study solutions of complex equations in elastic mechanics, fluid mechanics and Maxwell's equations. In this paper, the solutions of a series of complex partial differential equations in multiple complex analysis are connected with the hyperbolic harmonic functions in complex Cl_(0, n+1), and some properties of hyperbolic harmonic functions are studied in detail. Furthermore, sufficient and necessary conditions of hyperbolic harmonic functions are obtained.

Citation Download Citation

Xiao-ke Chai and Xiao-li Bian "Hyperbolic harmonic functions in complex Cl_(0, n+1)", Proc. SPIE 12163, International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), 121633T (22 April 2022); https://doi.org/10.1117/12.2627494

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