International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 14, Pages 909-916
doi:10.1155/S0161171203112057

K-Bessel functions in two variables

Abstract

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.