Euler polynomials
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31—40 of 128 matching pages
31: 18.18 Sums
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18.18.1
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18.18.5
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18.18.14
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►See Andrews et al. (1999, Lemma 7.1.1) for the more general expansion of in terms of .
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18.18.27
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32: 5.11 Asymptotic Expansions
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5.11.8
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33: 18.34 Bessel Polynomials
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18.34.5_5
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34: 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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OP | Orthogonality range for | Constraints | ||
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Racah | or or for further constraints see (18.25.1) | |||
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18.25.10
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18.25.13
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18.25.15
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35: 31.5 Solutions Analytic at Three Singularities: Heun Polynomials
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31.5.2
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36: 18.26 Wilson Class: Continued
37: 3.11 Approximation Techniques
38: 18.17 Integrals
39: 25.6 Integer Arguments
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§25.6(i) Function Values
…40: Errata
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Equation (18.12.2)
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Equation (18.35.5)
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Equation (8.7.6)
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Equations (31.16.2) and (31.16.3)
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Chapter 35 Functions of Matrix Argument
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18.12.2
This equation was updated to include on the left-hand side, its definition in terms of a product of two functions.
8.7.6
,
The constraint was updated to include “”.
Suggested by Walter Gautschi on 2022-10-14
31.16.2
31.16.3
The generalized hypergeometric function of matrix argument , was linked inadvertently as its single variable counterpart . Furthermore, the Jacobi function of matrix argument , and the Laguerre function of matrix argument , were also linked inadvertently (and incorrectly) in terms of the single variable counterparts given by , and . In order to resolve these inconsistencies, these functions now link correctly to their respective definitions.