associated orthogonal polynomials
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1: 18.30 Associated OP’s
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§18.30(ii) Associated Legendre Polynomials
… ►§18.30(iii) Associated Laguerre Polynomials
… ►§18.30(iv) Associated Hermite Polynomials
… ►§18.30(vii) Corecursive and Associated Monic Orthogonal Polynomials
… ►2: 18.37 Classical OP’s in Two or More Variables
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§18.37(iii) OP’s Associated with Root Systems
►Orthogonal polynomials associated with root systems are certain systems of trigonometric polynomials in several variables, symmetric under a certain finite group (Weyl group), and orthogonal on a torus. …3: 18.2 General Orthogonal Polynomials
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§18.2(x) Orthogonal Polynomials and Continued Fractions
… ►Define the first associated monic orthogonal polynomials as monic OP’s satisfying … ► …4: Bibliography M
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Orthogonal polynomials associated with root systems.
Sém. Lothar. Combin. 45, pp. Art. B45a, 40 pp. (electronic).
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The supports of measures associated with orthogonal polynomials and the spectra of the related selfadjoint operators.
Rocky Mountain J. Math. 21 (1), pp. 501–527.
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5: Bibliography R
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The Associated Classical Orthogonal Polynomials.
In Special Functions 2000: Current Perspective and Future
Directions (Tempe, AZ),
NATO Sci. Ser. II Math. Phys. Chem., Vol. 30, pp. 255–279.
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6: Bibliography B
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On the Associated Legendre Polynomials.
In Orthogonal Expansions and their Continuous Analogues (Proc.
Conf., Edwardsville, Ill., 1967),
pp. 43–50.
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A uniform asymptotic formula for orthogonal polynomials associated with
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J. Approx. Theory 98, pp. 146–166.
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7: 18 Orthogonal Polynomials
Chapter 18 Orthogonal Polynomials
…8: 16.18 Special Cases
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►As a corollary, special cases of the and functions, including Airy functions, Bessel functions, parabolic cylinder functions, Ferrers functions, associated Legendre functions, and many orthogonal polynomials, are all special cases of the Meijer -function.
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9: 34 3j, 6j, 9j Symbols
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10: 2.9 Difference Equations
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►These methods are particularly useful when the weight function associated with the orthogonal polynomials is not unique or not even known; see, e.
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