continuous Hahn polynomials
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1: 18.20 Hahn Class: Explicit Representations
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18.20.3
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18.20.9
►(For symmetry properties of with respect to , , , see Andrews et al. (1999, Corollary 3.3.4).)
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2: 18.22 Hahn Class: Recurrence Relations and Differences
3: 18.19 Hahn Class: Definitions
4: 18.21 Hahn Class: Interrelations
5: 18.23 Hahn Class: Generating Functions
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18.23.6
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6: 18.1 Notation
7: 18.26 Wilson Class: Continued
8: 18.25 Wilson Class: Definitions
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►Table 18.25.1 lists the transformations of variable, orthogonality ranges, and parameter constraints that are needed in §18.2(i) for the Wilson polynomials
, continuous dual Hahn polynomials
, Racah polynomials
, and dual Hahn polynomials
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Table 18.25.1: Wilson class OP’s: transformations of variable, orthogonality ranges, and parameter constraints.
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►Under certain conditions on their parameters the orthogonality range for the Wilson polynomials and continuous dual Hahn polynomials is , where is a specific finite set, e.
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OP | Orthogonality range for | Constraints | ||
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continuous dual Hahn | ; nonreal parameters in conjugate pairs | |||
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18.25.6
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►Table 18.25.2 provides the leading coefficients (§18.2(iii)) for the Wilson, continuous dual Hahn, Racah, and dual Hahn polynomials.
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9: Bibliography
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Continuous Hahn polynomials.
J. Phys. A 18 (16), pp. L1017–L1019.
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