Wilson class orthogonal polynomials
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11—16 of 16 matching pages
11: Bibliography W
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Asymptotics of orthogonal polynomials via recurrence relations.
Anal. Appl. (Singap.) 10 (2), pp. 215–235.
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Generating functions of class-numbers.
Compositio Math. 1, pp. 39–68.
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Hypergeometric Series, Recurrence Relations and Some New Orthogonal Polynomials.
Ph.D. Thesis, University of Wisconsin, Madison, WI.
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Some hypergeometric orthogonal polynomials.
SIAM J. Math. Anal. 11 (4), pp. 690–701.
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Asymptotics for the
polynomials.
J. Approx. Theory 66 (1), pp. 58–71.
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12: 18.19 Hahn Class: Definitions
§18.19 Hahn Class: Definitions
… ►Wilson class (or quadratic lattice class). These are OP’s ( of degree in , quadratic in ) where the role of the differentiation operator is played by or or . The Wilson class consists of two discrete and two continuous families.
Hahn, Krawtchouk, Meixner, and Charlier
… ►These polynomials are orthogonal on , and are defined as follows. …A special case of (18.19.8) is .13: Bibliography M
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Symmetric Functions and Orthogonal Polynomials.
University Lecture Series, Vol. 12, American Mathematical Society, Providence, RI.
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Orthogonal polynomials associated with root systems.
Sém. Lothar. Combin. 45, pp. Art. B45a, 40 pp. (electronic).
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Affine Hecke Algebras and Orthogonal Polynomials.
Cambridge Tracts in Mathematics, Vol. 157, Cambridge University Press, Cambridge.
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Associated Wilson polynomials.
Constr. Approx. 7 (4), pp. 521–534.
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Exceptional orthogonal polynomials.
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14: Bibliography
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Some orthogonal
-polynomials.
Math. Nachr. 30, pp. 47–61.
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Characterization theorems for orthogonal polynomials.
In Orthogonal Polynomials (Columbus, OH, 1989),
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. 294, pp. 1–24.
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Classical Orthogonal Polynomials.
In Orthogonal Polynomials and Applications, C. Brezinski, A. Draux, A. P. Magnus, P. Maroni, and A. Ronveaux (Eds.),
Lecture Notes in Math., Vol. 1171, pp. 36–62.
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Recurrence relations, continued fractions, and orthogonal polynomials.
Mem. Amer. Math. Soc. 49 (300), pp. iv+108.
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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials.
Mem. Amer. Math. Soc. 54 (319), pp. iv+55.
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15: Bibliography C
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Work Group of Computational Mathematics, University of Kassel, Germany.
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Asymptotics of the largest zeros of some orthogonal polynomials.
J. Phys. A 31 (25), pp. 5525–5544.
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On the zeros of the Askey-Wilson polynomials, with applications to coding theory.
SIAM J. Math. Anal. 18 (1), pp. 191–207.
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An Introduction to Orthogonal Polynomials.
Mathematics and its Applications, Vol. 13, Gordon and Breach Science Publishers, New York.
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Extremal measures for a system of orthogonal polynomials.
Constr. Approx. 9, pp. 111–119.
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16: Bibliography L
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Orthogonal polynomials, duality and association schemes.
SIAM J. Math. Anal. 13 (4), pp. 656–663.
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A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities.
Adv. in Math. 45 (1), pp. 21–72.
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Orthogonal Polynomials for Exponential Weights.
CMS Books in Mathematics/Ouvrages de Mathématiques de la
SMC, 4, Springer-Verlag, New York.
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Orthogonal polynomials for exponential weights on
.
J. Approx. Theory 134 (2), pp. 199–256.
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Approximation of orthogonal polynomials in terms of Hermite polynomials.
Methods Appl. Anal. 6 (2), pp. 131–146.
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