论文信息 - Classical orthogonal polynomials of a discrete variable on nonuniform lattices - 字舞流文

Classical orthogonal polynomials of a discrete variable on nonuniform lattices

A general theory of classical orthogonal polynomials of a discrete variable on nonuniform lattices is developed. The classification of the polynomials under consideration is given.

Sergei K. Suslov | A. Nikiforov | A. F. Nikiforov | S. K. Suslov

[1] D. Stanton. Some q-Krawtchouk Polynomials on Chevalley Groups , 1980 .

[2] Sergei K. Suslov,et al. The Hahn and Meixner polynomials of an imaginary argument and some of their applications , 1985 .

[3] James A. Wilson. Some Hypergeometric Orthogonal Polynomials , 1980 .

[4] A. F. Nikiforov,et al. Fonctions spéciales de la physique mathématique , 1983 .

[5] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .

[6] P. Delsarte. Hahn Polynomials, Discrete Harmonics, and t-Designs , 1978 .

[7] P. Lesky. Die Übersetzung der klassischen orthogonalen Polynome in die Differenzenrechnung , 1961 .

[8] W. Hahn. Über Orthogonalpolynome, die q-Differenzengleichungen genügen , 1949 .

[9] T. MacRobert. Higher Transcendental Functions , 1955, Nature.

[10] A. Erdélyi,et al. On the Finite Difference Analogue of Rodrigues' Formula , 1952 .

[11] Philippe Delsarte,et al. Properties and Applications of the Recurrence $F( {i + 1,k + 1,n + 1} ) = q^{k + 1} F( {i,k + 1,n} ) - q^k F( {i,k,n} )$ , 1976 .

[12] R. Askey,et al. A Set of Hypergeometric Orthogonal Polynomials , 1982 .

[13] Richard Askey,et al. A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or 6 - j Symbols. , 1979 .