UM
The Mehler formula for the generalized Clifford-Hermite polynomials
Brackx,F.1; De Schepper,N.1; Kou,K. I.2; Sommen,F.1
2007
Source PublicationActa Mathematica Sinica, English Series
ISSN1439-8516
Volume23Issue:4Pages:697-704
AbstractThe 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
Language英語English
Scopus ID2-s2.0-33947728756
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Cited Times [WOS]:6   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorDe Schepper,N.
Affiliation1.Department of Mathematical Analysis,Clifford Research Group,Ghent University,Galglaan 2,B-9000 Gent,Belgium
2.University of Macau,Department of Mathematics,Faculty of Science and Technology,P. O. Box 3001,Macao
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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