An orthogonal system of monogenic polynomials over prolate spheroids in \(\mathbb R^3\)

DOI10.1016/J.MCM.2012.06.020zbMath1305.33023OpenAlexW2005299009MaRDI QIDQ2256398

João Pedro Morais

Publication date: 19 February 2015

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2012.06.020

zbMATH Keywords

Chebyshev polynomialshyperbolic functionsmonogenic functionsquaternion analysisFerrer's associated Legendre functionsMoisil-Théodoresco system

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (13)

Generalized holomorphic orthogonal function systems over infinite cylinders ⋮ Constructing prolate spheroidal quaternion wave functions on the sphere ⋮ Recent Progress on Spheroidal Monogenic Functions ⋮ Relations among spheroidal and spherical harmonics ⋮ Computational geometric and boundary value properties of oblate spheroidal quaternionic wave functions ⋮ Orthogonal harmonic and quaternionic monogenic functions in the exterior of a spheroid ⋮ Comments on an Orthogonal Family of Monogenic Functions on Spheroidal Domains ⋮ On orthogonal monogenics in oblate spheroidal domains and recurrence formulae ⋮ Quaternion Zernike spherical polynomials ⋮ 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 ⋮ On 3D orthogonal prolate spheroidal monogenics ⋮ ON CONVERGENCE PROPERTIES OF 3D SPHEROIDAL MONOGENICS

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