Some new results for Charlier and Meixner polynomials

In Bavinck (1996), we proved the following general result for Laguerre polynomials. For all x,α ∈C∑k=jiksL(-α-i-1)i−k(−x)L(α+j)k−j (x)=σi, 2s+j(−x)s, i,j,s∈{0,1,2,…} provided that i ⩾ 2s + j. In this letter we derive the analogues of this formula for Charlier and Meixner polynomials.