Towards a quaternionic function theory linked with the Lamé's wave functions

DOI10.1002/mma.3376zbMath1338.30047OpenAlexW1969339455MaRDI QIDQ2795437

João Pedro Morais, Marco Antonio Pérez-de la Rosa

Publication date: 21 March 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.3376

zbMATH Keywords

Helmholtz equationquaternionic analysisspherical wave functionsCauchy-type integralSokhotski-Plemelj formulaeLamé's wave functionsprolate and oblate spheroidal 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

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

Cites Work

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