Abstract
We discuss differential-difference properties of the extended Jacobi polynomials \[ P n ( x ) = p + 2 F q ( − n , n + λ , a p ; b q ; x ) ( n = 0 , 1 , … ) . {P_n}(x){ = _{p + 2}}{F_q}( - n,n + \lambda ,{a_p};{b_q};x)\quad (n = 0,1, \ldots ). \] The point of departure is a corrected and reformulated version of a differential-difference equation satisfied by the polynomials P n ( x ) {P_n}(x) , which was derived by Wimp (Math. Comp., v. 29, 1975, pp. 577-581).
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