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. (C) 2001 Elsevier Science B.V. All rights reserved.
[发布日期] 2001-08-01 [发布机构]
[效力级别] Proceedings Paper [学科分类]
[关键词] associated polynomials;co-recursive polynomials;Newton sum rules [时效性]
