The authors obtain some linear generating functions for hypergeometric polynomials given by \[ \nu_ n(x)=\sum^{n}_{k=0}(-1)^ kn!P_ k(x)/(k!)^ 2(n-k)!, \] derive, as special cases, generalizations of some known generating functions and also give a few generating functions in terms of double hypergeometric functions of Humbert and Horn.