International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 14, Pages 909-916

K-Bessel functions in two variables

Hacen Dib

Department of Mathematics, University of Tlemcen, BP 119, Tlemcen 13000, Algeria

Received 1 December 2001

Copyright © 2003 Hacen Dib. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The Bessel-Muirhead hypergeometric system (or 0F1-system) in two variables (and three variables) is solved using symmetric series, with an explicit formula for coefficients, in order to express the K-Bessel function as a linear combination of the J-solutions. Limits of this method and suggestions for generalizations to a higher rank are discussed.