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Title
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Higher spin generalisation of the Gegenbauer polynomials
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Author
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Abstract
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| In this paper we generalise the harmonic Gegenbauer polynomials to the higher spin setting. To do so we will consider the space of simplicial harmonics and look for polynomials that are invariant with respect to a particular subalgebra of the orthogonal Lie algebra. Analogue to the classic case we will construct a ladder operator which generates our special functions and use them to construct Appell sequences. |
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Language
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English
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Source (journal)
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Complex analysis and operator theory
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Source (book)
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International Conference on Past and Future Directions in Hypercomplex, and Harmonic Analysis in honor of his 60th Birthday, 2016, Univ Aveiro, Univ Aveiro, Aveiro, PORTUGAL
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Publication
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Basel
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Springer basel ag
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2017
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ISSN
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1661-8254
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DOI
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10.1007/S11785-016-0623-7
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Volume/pages
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11
:5
(2017)
, p. 1173-1192
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ISI
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000402165300011
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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