  In this paper we compute the spherical Fourier expansions coefficients for
the restriction of the generalised Wendland functions from $d-$dimensional
Euclidean space to the (d-1)-dimensional unit sphere. The development required
to derive these coefficients relies heavily upon known asymptotic results for
hypergeometric functions and the final result shows that they can be expressed
in closed form as a multiple of a certain $_{3}F_{2}$ hypergeometric function.
Using the closed form expressions we are able to provide the precise asymptotic
rates of decay for the spherical Fourier coefficients which we observe have a
close connection to the asymptotic decay rate of the corresponding Euclidean
Fourier transform.
