q-Racah polynomials
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21: 18.5 Explicit Representations
22: 18.35 Pollaczek Polynomials
§18.35 Pollaczek Polynomials
… ►There are 3 types of Pollaczek polynomials: … ►For the monic polynomials … ► … ► …23: 24.16 Generalizations
§24.16 Generalizations
… ►Polynomials and Numbers of Integer Order
… ►Nörlund Polynomials
… ►§24.16(ii) Character Analogs
… ►§24.16(iii) Other Generalizations
…24: 18.18 Sums
25: 29.20 Methods of Computation
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►These matrices are the same as those provided in §29.15(i) for the computation of Lamé polynomials with the difference that has to be chosen sufficiently large.
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►A fourth method is by asymptotic approximations by zeros of orthogonal polynomials of increasing degree.
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§29.20(ii) Lamé Polynomials
… ►The corresponding eigenvectors yield the coefficients in the finite Fourier series for Lamé polynomials. … ►§29.20(iii) Zeros
…26: 18.34 Bessel Polynomials
§18.34 Bessel Polynomials
… ►Often only the polynomials (18.34.2) are called Bessel polynomials, while the polynomials (18.34.1) and (18.34.3) are called generalized Bessel polynomials. … … ►§18.34(ii) Orthogonality
… ►expressed in terms of Romanovski–Bessel polynomials, Laguerre polynomials or Whittaker functions, we have …27: 18.17 Integrals
28: 35.11 Tables
§35.11 Tables
►Tables of zonal polynomials are given in James (1964) for , Parkhurst and James (1974) for , and Muirhead (1982, p. 238) for . Each table expresses the zonal polynomials as linear combinations of monomial symmetric functions.29: René F. Swarttouw
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►Swarttouw is mainly a teacher of mathematics and has published a few papers on special functions and orthogonal polynomials.
He is coauthor of the book Hypergeometric Orthogonal Polynomials and Their
-Analogues) Hypergeometric Orthogonal Polynomials and Their -Analogues.
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