Generalized holomorphic Szego kernel in 3D spheroids
Morais, J.; Kou, K. I.; Sprößig , W.
Source PublicationComputers and Mathematics with Applications
AbstractMonogenic 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 R4), 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.
KeywordQuaternion analysis Ferrer’s associated Legendre functions Chebyshev polynomials Hyperbolic functions Prolate spheroidal monogenics Szegö kernel function
The Source to ArticlePB_Publication
PUB ID10680
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorMorais, J.
Recommended Citation
GB/T 7714
Morais, J.,Kou, K. I.,Sprößig , W.. Generalized holomorphic Szego kernel in 3D spheroids[J]. Computers and Mathematics with Applications,2013:576-588.
APA Morais, J.,Kou, K. I.,&Sprößig , W..(2013).Generalized holomorphic Szego kernel in 3D spheroids.Computers and Mathematics with Applications,576-588.
MLA Morais, J.,et al."Generalized holomorphic Szego kernel in 3D spheroids".Computers and Mathematics with Applications (2013):576-588.
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