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.