q-Racah polynomials
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41: 29.14 Orthogonality
§29.14 Orthogonality
►Lamé polynomials are orthogonal in two ways. … ►
29.14.4
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29.14.5
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29.14.6
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42: 18.24 Hahn Class: Asymptotic Approximations
§18.24 Hahn Class: Asymptotic Approximations
… ►For an asymptotic expansion of as , with fixed, see Li and Wong (2001). …Corresponding approximations are included for the zeros of . ►Approximations in Terms of Laguerre Polynomials
… ►Similar approximations are included for Jacobi, Krawtchouk, and Meixner polynomials.43: 16.7 Relations to Other Functions
44: 32.15 Orthogonal Polynomials
§32.15 Orthogonal Polynomials
►Let , , be the orthonormal set of polynomials defined by ►
32.15.1
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32.15.2
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45: 35.12 Software
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►For an algorithm to evaluate zonal polynomials, and an implementation of the algorithm in Maple by Zeilberger, see Lapointe and Vinet (1996).
Demmel and Koev (2006). Computation of zonal polynomials in MATLAB.
Stembridge (1995). Maple software for zonal polynomials.
46: Roelof Koekoek
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►Koekoek is mainly a teacher of mathematics and has published a few papers on orthogonal polynomials.
He is also author of the book Hypergeometric Orthogonal Polynomials and Their -Analogues (with P.
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47: 18.27 -Hahn Class
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§18.27(ii) -Hahn Polynomials
… ►§18.27(iii) Big -Jacobi Polynomials
… ►§18.27(iv) Little -Jacobi Polynomials
… ►Little -Laguerre polynomials
… ►§18.27(v) -Laguerre Polynomials
…48: 18.31 Bernstein–Szegő Polynomials
§18.31 Bernstein–Szegő Polynomials
►Let be a polynomial of degree and positive when . The Bernstein–Szegő polynomials , , are orthogonal on with respect to three types of weight function: , , . …49: 24.2 Definitions and Generating Functions
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§24.2(i) Bernoulli Numbers and Polynomials
… ►§24.2(ii) Euler Numbers and Polynomials
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