relation to Racah polynomials
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1: 18.38 Mathematical Applications
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2: 18.28 Askey–Wilson Class
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§18.28(viii) -Racah Polynomials
…3: 16.4 Argument Unity
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►Also see Wilf and Zeilberger (1992a, b) for information on the Wilf–Zeilberger algorithm which can be used to find such relations.
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►The characterizing properties (18.22.2), (18.22.10), (18.22.19), (18.22.20), and (18.26.14) of the Hahn and Wilson class polynomials are examples of the contiguous relations mentioned in the previous three paragraphs.
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►One example of such a three-term relation is the recurrence relation (18.26.16) for Racah polynomials.
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4: 18.26 Wilson Class: Continued
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§18.26(i) Representations as Generalized Hypergeometric Functions and Dualities
… ►Racah Dual Hahn
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… ►§18.26(iv) Generating Functions
… ►Racah
…5: Bibliography C
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Asymptotic behaviour of the zeros of the (generalized) Laguerre polynomial
as the index and limiting formula relating Laguerre polynomials of large index and large argument to Hermite polynomials.
Lett. Nuovo Cimento (2) 23 (3), pp. 101–102.
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Asymptotics of Racah coefficients and polynomials.
J. Phys. A 32 (3), pp. 537–553.
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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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Performance evaluation of programs related to the real gamma function.
ACM Trans. Math. Software 17 (1), pp. 46–54.
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