K-bessel Functions in Two Variables

  title={K-bessel Functions in Two Variables},
  author={Hacen Dib},
The Bessel-Muirhead hypergeometric system (or 0 F 1-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. 1. Introduction. The Bessel functions (of the first kind) defined on the space of real symmetric matrices appeared in the work of James [5] as an… CONTINUE READING

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