Jacobi-type polynomials
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11: 18.6 Symmetry, Special Values, and Limits to Monomials
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►For Jacobi, ultraspherical, Chebyshev, Legendre, and Hermite polynomials, see Table 18.6.1.
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Laguerre
… ► ►§18.6(ii) Limits to Monomials
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18.6.4
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12: 18.1 Notation
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Classical OP’s
… ►Hahn Class OP’s
… ►Wilson Class OP’s
… ►Nor do we consider the shifted Jacobi polynomials: …or the dilated Chebyshev polynomials of the first and second kinds: …13: 29.19 Physical Applications
14: 18.21 Hahn Class: Interrelations
§18.21 Hahn Class: Interrelations
►§18.21(i) Dualities
… ►§18.21(ii) Limit Relations and Special Cases
… ►Hahn Jacobi
… ►Meixner Laguerre
…15: 18.9 Recurrence Relations and Derivatives
16: 18.14 Inequalities
17: 18.8 Differential Equations
18: 18.37 Classical OP’s in Two or More Variables
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§18.37(i) Disk Polynomials
►Definition in Terms of Jacobi Polynomials
… ►Definition in Terms of Jacobi Polynomials
… ►Orthogonal polynomials associated with root systems are certain systems of trigonometric polynomials in several variables, symmetric under a certain finite group (Weyl group), and orthogonal on a torus. …For general they occur as Macdonald polynomials for root system , as Macdonald polynomials for general root systems, and as Macdonald–Koornwinder polynomials; see Macdonald (1995, Chapter VI), Macdonald (2000, 2003), Koornwinder (1992).19: 24.4 Basic Properties
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