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Generalized holomorphic Szegö kernel in 3D spheroids
Morais J.3; Kou K.I.2; Sprossig W.1
2013-02-01
Source PublicationComputers and Mathematics with Applications
ISSN08981221
Volume65Issue:4Pages:576-588
Abstract

Monogenic orthogonal polynomials over 3D prolate spheroids were previously introduced and shown to have some remarkable properties. In particular, the underlying functions take values in the quaternions (identified with ), and are generally assumed to be nullsolutions of the well known Moisil-Théodoresco system. In this paper, we show that these polynomial functions play an important role in defining the Szegö kernel function over the surface of 3D (prolate) spheroids. As a concrete application, we prove an explicit expression of the monogenic Szegö kernel function over 3D (prolate) spheroids and present two numerical examples. © 2012 Elsevier B.V. All rights reserved.

KeywordChebyshev Polynomials Ferrer's Associated Legendre Functions Hyperbolic Functions Prolate Spheroidal Monogenics Quaternion Analysis Szegö Kernel Function
DOI10.1016/j.camwa.2012.10.011
URLView the original
Indexed BySCIE
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000315425100002
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Cited Times [WOS]:14   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Technische Universität Bergakademie Freiberg
2.Universidade de Macau
3.Universidade de Aveiro
Recommended Citation
GB/T 7714
Morais J.,Kou K.I.,Sprossig W.. Generalized holomorphic Szegö kernel in 3D spheroids[J]. Computers and Mathematics with Applications,2013,65(4):576-588.
APA Morais J.,Kou K.I.,&Sprossig W..(2013).Generalized holomorphic Szegö kernel in 3D spheroids.Computers and Mathematics with Applications,65(4),576-588.
MLA Morais J.,et al."Generalized holomorphic Szegö kernel in 3D spheroids".Computers and Mathematics with Applications 65.4(2013):576-588.
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