The aim of the present paper is an attempt to introduce a new sequence of functions { (M,N;P,Q,R; ) ( ) } n V x;a, k,s / n 0,1, 2,... α = in equation (1.15), which involving with the generalized contour integral M,N [ ] P,Q;R I x . By using operational technique, some interesting generating relations and finite summation formulae are obtained in sections 2 and 3. These generating ...