Computation of Newton sum rules for associated and co-recursive classical orthogonal polynomials

摘要

By using some preceding results of Buendia et al., in: Alfaro et al. (Eds.), Orthogonal Polynomials and their Applications, Lecture Notes in Mathematics, Vol. 1329, Springer, Berlin, 1986, pp. 222–235, Ricci, J. Math. Phys. 34 (1993) 4884–4891, Natalini, Calcolo 31 (1994) 127–144, and differential equations of associated (see Belmedhi, Ronveaux, Rend. Mat. 11 (1991) 313–326, Zarzo et al., J. Comput. Appl. Math. 49 (1993) 349–359) and co-recursive (see Ronveaux, Marcellan, J. Comput. Appl. Math. 25 (1989) 105–109, Ronveaux et al., J. Comput. Appl. 59 (1995) 295–328) orthogonal polynomials, we obtain numerical results for Newton sum rules of associated and co-recursive Laguerre, Hermite and Jacobi polynomials.