An explicit expression for the Harish-Chandra c-function for the homogeneous space SO(2,n)/S(O(2)×O(n))SO(2,n)/S(O(2)×O(n)), n∈{2,4,6}n∈{2,4,6}

This paper is devoted to presenting an explicit expression for the Harish-Chandra c-function for the Lie ball. Our computation technique is based on the expression for the generalized spherical function and its asymptotic behavior.