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The Mehler formula for the generalized Clifford-Hermite polynomials
Brackx F.2; De Schepper N.2; Kou K.I.1; Sommen F.2
2007-04-01
Source PublicationActa Mathematica Sinica, English Series
ISSN14398516
Volume23Issue:4Pages:697-704
Abstract

The Mehler formula for the Hermite polynomials allows for an integral representation of the one-dimensional Fractional Fourier transform. In this paper, we introduce a multi-dimensional Fractional Fourier transform in the framework of Clifford analysis. By showing that it coincides with the classical tensorial approach we are able to prove Mehler's formula for the generalized Clifford-Hermite polynomials of Clifford analysis. © Springer-Verlag Berlin Heidelberg 2007.

KeywordClifford Analysis Fractional Fourier Transform Hermite Polynomials
DOI10.1007/s10114-005-0754-7
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000245235600010
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Cited Times [WOS]:6   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Universidade de Macau
2.Universiteit Gent
Recommended Citation
GB/T 7714
Brackx F.,De Schepper N.,Kou K.I.,et al. The Mehler formula for the generalized Clifford-Hermite polynomials[J]. Acta Mathematica Sinica, English Series,2007,23(4):697-704.
APA Brackx F.,De Schepper N.,Kou K.I.,&Sommen F..(2007).The Mehler formula for the generalized Clifford-Hermite polynomials.Acta Mathematica Sinica, English Series,23(4),697-704.
MLA Brackx F.,et al."The Mehler formula for the generalized Clifford-Hermite polynomials".Acta Mathematica Sinica, English Series 23.4(2007):697-704.
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