continuous%20dual%20Hahn%20polynomials
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21—30 of 354 matching pages
21: 23 Weierstrass Elliptic and Modular
Functions
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22: 32.16 Physical Applications
23: 18.20 Hahn Class: Explicit Representations
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§18.20(i) Rodrigues Formulas
… βΊFor the Hahn polynomials and … βΊContinuous Hahn
… βΊ§18.20(ii) Hypergeometric Function and Generalized Hypergeometric Functions
… βΊ(For symmetry properties of with respect to , , , see Andrews et al. (1999, Corollary 3.3.4).) …24: 18.22 Hahn Class: Recurrence Relations and Differences
25: 3.4 Differentiation
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βΊIf is continuous on the interval defined in §3.3(i), then the remainder in (3.4.1) is given by
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26: 18.38 Mathematical Applications
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Approximation Theory
… βΊThe terminology DVR arises as an otherwise continuous variable, such as the co-ordinate , is replaced by its values at a finite set of zeros of appropriate OP’s resulting in expansions using functions localized at these points. … βΊThe symbol (34.2.6), with an alternative expression as a terminating of unit argument, can be expressed in terms of Hahn polynomials (18.20.5) or, by (18.21.1), dual Hahn polynomials. The orthogonality relations in §34.3(iv) for the symbols can be rewritten in terms of orthogonality relations for Hahn or dual Hahn polynomials as given by §§18.2(i), 18.2(iii) and Table 18.19.1 or by §18.25(iii), respectively. … …27: 36 Integrals with Coalescing Saddles
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28: GergΕ Nemes
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βΊAs of September 20, 2021, Nemes performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 25 Zeta and Related Functions.
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29: 18.23 Hahn Class: Generating Functions
§18.23 Hahn Class: Generating Functions
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18.23.1
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Continuous Hahn
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18.23.6
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