Relations among spheroidal and spherical harmonics

DOI10.1016/j.amc.2020.125147zbMath1474.30262arXiv1905.01568OpenAlexW3033757559MaRDI QIDQ2189857

João Pedro Morais, Raybel A. García Ancona, R. Michael Porter

Publication date: 17 June 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01568

zbMATH Keywords

spherical harmonicsquaternionic analysismonogenic functionspheroidal harmonicscontragenic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Related Items (1)

Orthogonal harmonic and quaternionic monogenic functions in the exterior of a spheroid

Cites Work

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• Orthogonal harmonic polynomials
• On 3D orthogonal prolate spheroidal monogenics
• Application of Holomorphic Functions in Two and Higher Dimensions
• Real-part estimates for solutions of the Riesz system in ℝ³
• On a relation between spherical and spheroidal harmonics
• Contragenic functions on spheroidal domains
• Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains
• On homogeneous polynomial solutions of the Riesz system and their harmonic potentials

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