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K -Bessel functions associated to a 3-rank Jordan algebra

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  • Hacen Dib

Abstract

Using the Bessel-Muirhead system, we can express the K -Bessel function defined on a Jordan algebra as a linear combination of the J-solutions. We determine explicitly the coefficients when the rank of this Jordan algebra is three after a reduction to the rank two. The main tools are some algebraic identities developed for this occasion.

Suggested Citation

  • Hacen Dib, 2005. "K -Bessel functions associated to a 3-rank Jordan algebra," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:272739
    DOI: 10.1155/IJMMS.2005.2863
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