<正> 我們要證明以下定理: 給定區間I=(0,∞),x,ξ屬於I;n為任意非負整數,l=0,1,2,…,n;我們用符號B_k~l記

Let B_k~l denote B_k~l ≡ (l+k)!/(l-k)!k!z~k, is the kth coefficient of Bessel polynomial of degree l, yl(x) the study of Euler-Poisson-Darboux equation by Fourier transforms suggested us to consider the following system of functional equations and with the additional conditions where l=0, 1,…, n.In this note we prove that on the interval 0