Proper Biharmonic and Triharmonic Functions in Hyperbolic Spaces

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Mohammad Ridwan, Dahliatul Hasanah

2022 AIP Conference Proceedings Vol. 2639 Conference paper Cited by 0 Quartile

Abstract

A biharmonic equation is a fourth-order partial derivative equation that frequently appears in the field of quantum mechanics, including the theory of elasticity and Stokes flow solutions. The aim of the reseach is to study the formation of the proper biharmonic and triharmonic function in the modeling of n-dimensional hyperbolic space containing the hyperbolic upper-half space (Hn), hyperbolic one-sheeted hyperboloid (Hn) and n-dimensional spheres (Sn). In this study, some examples are given to elaborate the concept of the proper biharmonic and triharmonic functions. © 2022 American Institute of Physics Inc.. All rights reserved.

Affiliations

Mathematics Department, FMIPA Universitas Negeri Malang, Malang, Indonesia