Meixner–Pollaczek
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1: 18.24 Hahn Class: Asymptotic Approximations
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Meixner–Pollaczek
►For an asymptotic expansion of as , with fixed, see Li and Wong (2001). …Corresponding approximations are included for the zeros of . … ►For asymptotic approximations to as , with fixed, see Temme and López (2001). …2: 18.21 Hahn Class: Interrelations
3: 18.22 Hahn Class: Recurrence Relations and Differences
4: 18.19 Hahn Class: Definitions
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►The Hahn class consists of four discrete families (Hahn, Krawtchouk, Meixner, and Charlier) and two continuous families (continuous Hahn and Meixner–Pollaczek).
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Meixner–Pollaczek
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18.19.6
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5: 18.20 Hahn Class: Explicit Representations
6: 18.23 Hahn Class: Generating Functions
7: 18.30 Associated OP’s
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§18.30(v) Associated Meixner–Pollaczek Polynomials
►In view of (18.22.8) the associated Meixner–Pollaczek polynomials are defined by the recurrence relation ►
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8: 18.35 Pollaczek Polynomials
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18.35.10
►For the ultraspherical polynomials , the Meixner–Pollaczek polynomials and the associated Meixner–Pollaczek polynomials see §§18.3, 18.19 and 18.30(v), respectively.
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