Quaternionic spherical wave functions

DOI10.1002/mma.3889zbMath1354.30047OpenAlexW2528922577MaRDI QIDQ5507145

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Publication date: 16 December 2016

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

Full work available at URL: https://doi.org/10.1002/mma.3889

zbMATH Keywords

Helmholtz equationquaternionic analysisspherical wave functions

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functions of hypercomplex variables and generalized variables (30G35)

Related Items (1)

Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation

Cites Work

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• Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations
• On the completeness of the spherical vector wave functions
• Some properties of the Cauchy-type integral for the time harmonic Maxwell equations
• Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in \(\mathbb R^{3}\)
• On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators
• Towards a quaternionic function theory linked with the Lamé's wave functions
• Real-part estimates for solutions of the Riesz system in ℝ³
• On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions

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