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Title
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The Bessel-Clifford function associated to the Cayley-Laplace operator
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Author
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Abstract
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| In this paper the Cayley–Laplace Δxu operator is considered, a rotationally invariant differential operator which can be seen as a generalisation of the classical Laplace operator for functions depending on wedge variables Xab (the minors of a matrix variable). We will show that the Bessel–Clifford function appears naturally in the framework of two-wedge variables, and explain how this function somehow plays the role of the exponential function in the framework of Grassmannians. This will be used to obtain a generalisation of the series expansion for the Newtonian potential, and to investigate a new kind of binomial polynomials related to Nayarana numbers. |
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Language
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English
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Source (journal)
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Advances in applied Clifford algebras. - México, D.F., 1991, currens
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Publication
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México, D.F.
:
Universidad National Autónoma de México
,
2024
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ISSN
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0188-7009
[print]
1661-4909
[online]
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DOI
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10.1007/S00006-024-01351-W
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Volume/pages
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34
:5
(2024)
, p. 1-20
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Article Reference
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47
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ISI
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001308514500002
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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