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An integral transform generating elementary functions in Clifford analysis
Author(s) -
Laville G.,
Ramadanoff I.
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.699
Subject(s) - mathematics , clifford analysis , bessel function , trigonometry , construct (python library) , exponential function , integral transform , algebra over a field , pure mathematics , trigonometric functions , struve function , mathematical analysis , orthogonal polynomials , geometry , gegenbauer polynomials , computer science , programming language , dirac operator , classical orthogonal polynomials
In this paper we introduce a real integral transform which links trigonometric and Bessel functions. This allows us to construct a monogenic pseudo‐exponential in Clifford analysis. There is a deep difference between odd and even dimensions. Copyright © 2006 John Wiley & Sons, Ltd.