Generalized holomorphic Szego kernel in 3D spheroids

DOI10.1016/J.CAMWA.2012.10.011zbMath1319.33001OpenAlexW2005412877MaRDI QIDQ493441

Kit Ian Kou, João Pedro Morais, Wolfgang Sprössig

Publication date: 3 September 2015

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.10.011

zbMATH Keywords

Chebyshev polynomialshyperbolic functionsquaternion analysisFerrer's associated Legendre functionsprolate spheroidal monogenicsSzego kernel function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (14)

New type of Gegenbauer-Jacobi-Hermite monogenic polynomials and associated continuous Clifford wavelet transform. Some monogenic Clifford polynomials and associated wavelets ⋮ Local distortion of M-conformal mappings ⋮ Generalized holomorphic orthogonal function systems over infinite cylinders ⋮ Constructing prolate spheroidal quaternion wave functions on the sphere ⋮ Recent Progress on Spheroidal Monogenic Functions ⋮ Computational geometric and boundary value properties of oblate spheroidal quaternionic wave functions ⋮ Some ultraspheroidal monogenic Clifford Gegenbauer Jacobi polynomials and associated wavelets ⋮ 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 ⋮ New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets

This page was built for publication: Generalized holomorphic Szego kernel in 3D spheroids