An introduction to second degree forms
Tóm tắt
Từ khóa
Tài liệu tham khảo
H. Bouakkaz, Les polynômes orthogonaux de Laguerre-Hahn de classe zéro, Thèse de l'Univ. P. et M. Curie, Paris (1990).
T.S. Chihara,An Introduction to Orthogonal Polynomials (Gordon and Breach, New York, 1978).
D. Dickinson, On certain polynomials associated with orthogonal polynomials, Boll. Un. Mat. Ital. 13 (1958) 116–124.
J. Dini, Sur les formes linéaires et les polynômes orthogonaux de Laguerre-Hahn, Thèse l'Univ. P. et M. Curie, Paris (1988).
P. Duren,Theory of H p spaces (Academic Press, New York, 1970).
W. Gautschi and S.E. Notaris, Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type, J. Comp. Appl. Math. 25 (1989) 199–224. Erratum, Ibid. J. Comp. Appl. Math. 27 (1989) 429.
J.S. Geronimo and W. Van Assche, Orthogonal polynomials with asymptotically periodic recurrence coefficients, J. Approx. Theory 46 (1986) 251–283.
A. Magnus, Riccati acceleration of the Jacobi continued fractions and Laguerre-Hahn orthogonal polynomials, in:Padé Approximation and its Applications, Proc. Bad Honnef (1983), Lect. Notes in Math. 1071, eds. H. Werner and H.T. Bunger (Springer, Berlin, 1984), pp. 213–230.
P. Maroni, Prolégomènes à l'étude des polynômes orthogonaux semi-classiques, Ann. di Mat. pura ed appl. 149 (1987) 165–184.
P. Maroni, Sur la suite de polynômes orthogonaux associée à la formeu=δ c+λ(x-c)–1L, Period. Math. Hung. 21 (1990) 223–248.
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) pp. 95–130.
P. Maroni, Two-dimensional orthogonal polynomials, their associated sets and the co-recursive sets, Numer. Algor. 3 (1992) 299–311.
P. Maroni, Variations around classical orthogonal polynomials. Connected problems, in:7th Symp. on Sobre Polinomios Ortogonales y Applicationes, Proc., Granada (1991), J. Comp. Appl. Math. 48 (1993) 133–155.
F. Peherstorfer, On Bernstein-Szegö polynomials on several intervals, SIAM J. Math. Anal. 21 (1990) 461–482.
F. Peherstorfer, On Bernstein-Szegö orthogonal polynomials on several intervals II: Orthogonal polynomials with periodic recurrence coefficients, J. Approx. Theory 64 (1991) 123–161.
F. Peherstorfer, Orthogonal and extreamal polynomials on several intervals, J. Comp. Appl. Math. 48 (1993) 187–205.
J. Riordan,Combinatorial Identities (Wiley, 1968).
G. Sansigre and G. Valent, A large family of semi-classical polynomials: the perturbed Tchebichev, J. Comput. Appl. Math., to appear.
