Abstract
We study forms which are closely related to the Legendre form. The Stieltjes functions and the recurrence coefficients of the polynomials associated with these forms are explicitly given.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Bouakkaz, Les polynômes orthogonaux de Laguerre-Hahn de classe zéro, Thèse de l'Univ. P. et M. Curie, Paris (1990).
S.S. Kim and K.H. Kwon, Generalized weights for orthogonal polynomials, Diff. Int. Eq. 4 (1991) 601–608.
A.M. Krall and R.D. Morton, Distributional weight functions for orthogonal polynomials, SIAM J. Math. Anal. 9 (1978) 604–626.
A.M. Krall, The Bessel polynomial moment problem. Acta Math. Acad. Sci. Hung. 38 (1981) 105–107.
P. Maroni, Le calcul des formes linéaires et les polynômes orthogonaux semi-classiques, in:Orthogonal Polynomials and their Applications. Proc. Segovia (1986), Lect. Notes in Math. 1329, eds. M. Alfaro et al. (Springer, 1988) pp. 279–290.
P. Maroni, Une théorie algébrique des polynômes orthogonaux. Application aux polynômes orthogonaux semi-classiques, in:Orthogonal Polynomials and their Applications. Proc. Erice (1990), IMACS, Ann. Comp. Appl. Math. 9 (1991), 95–130.
P. Maroni, Variations around classical orthogonal polynomials. Connected problems, J. Comp. Appl. Math. 48 (1993) 133–155.
P. Maroni, Tchebychev forms and their perturbed as second degree forms, Ann. Numer. Math. 2 (1995) 123–143.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Maroni, P. On a regular form defined by a pseudo-function. Numer Algor 11, 243–254 (1996). https://doi.org/10.1007/BF02142500
Issue Date:
DOI: https://doi.org/10.1007/BF02142500