Kazhdan-Lusztig coefficients for an Affine Weyl group of type $\widetilde{A_2}$

In this paper we compute the leading coefficients $\mu (u,w)$ of the Kazhdan-Lusztig polynomials $P_{u,w}$ for an affine Weyl group of type $\widetilde{A_2}$. We give all the values $\mu (u,w)$.