Reduced‐quaternion inframonogenic functions on the ball

DOI10.1002/mma.9600arXiv2203.04509OpenAlexW4385660871MaRDI QIDQ6193147

R. Michael Porter, Cynthia Álvarez-Peña, João Pedro Morais

Publication date: 12 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.04509

zbMATH Keywords

spherical harmonicsquaternionic analysismonogenic functioncontragenic functioninframonogenic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Cites Work

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• Laguerre derivative and monogenic Laguerre polynomials: an operational approach
• Quaternionic analysis and elliptic boundary value problems
• On structure of inframonogenic functions
• Comparing harmonic and inframonogenic functions in Clifford analysis
• A Cauchy integral formula for inframonogenic functions in Clifford analysis
• Contragenic functions of three variables
• Application of Holomorphic Functions in Two and Higher Dimensions
• Real-part estimates for solutions of the Riesz system in ℝ³
• A Cauchy-Kowalevski theorem for inframonogenic functions
• Fischer decomposition by inframonogenic functions
• On derivatives of spherical monogenics
• Real Quaternionic Calculus Handbook
• Decomposition of inframonogenic functions with applications in elasticity theory
• Quaternion Zernike spherical polynomials

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