International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 18, Pages 2863-2870
doi:10.1155/IJMMS.2005.2863
K-Bessel functions associated to a 3-rank Jordan algebra
Hacen Dib
Department of Mathematics, Faculty of Sciences, University of Tlemcen, BP 119, Tlemcen 13000, Algeria
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.