Lam%C3%A9%20polynomials
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21—30 of 317 matching pages
21: 18.4 Graphics
22: 18.7 Interrelations and Limit Relations
§18.7 Interrelations and Limit Relations
… ►Chebyshev, Ultraspherical, and Jacobi
… ►Legendre, Ultraspherical, and Jacobi
… ►§18.7(ii) Quadratic Transformations
… ►§18.7(iii) Limit Relations
…23: 18.41 Tables
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§18.41(i) Polynomials
►For () see §14.33. ►Abramowitz and Stegun (1964, Tables 22.4, 22.6, 22.11, and 22.13) tabulates , , , and for . The ranges of are for and , and for and . … ►For , , and see §3.5(v). …24: 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
… ►
18.6.4
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25: Bibliography D
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Recherches analytiques sur la théorie des nombres premiers. Deuxième partie. Les fonctions de Dirichlet et les nombres premiers de la forme linéaire
.
Ann. Soc. Sci. Bruxelles 20, pp. 281–397 (French).
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On the real roots of Euler polynomials.
Monatsh. Math. 106 (2), pp. 115–138.
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Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets.
SIAM J. Math. Anal. 30 (5), pp. 1029–1056.
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Complex zeros of cylinder functions.
Math. Comp. 20 (94), pp. 215–222.
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Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions.
SIAM J. Math. Anal. 20 (3), pp. 744–760.
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26: 8 Incomplete Gamma and Related
Functions
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27: 28 Mathieu Functions and Hill’s Equation
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28: 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: …29: Bibliography N
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On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
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Reduction and evaluation of elliptic integrals.
Math. Comp. 20 (94), pp. 223–231.
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Orthogonal polynomials.
Mem. Amer. Math. Soc. 18 (213), pp. v+185 pp..
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A table of integrals of the error functions.
J. Res. Nat. Bur. Standards Sect B. 73B, pp. 1–20.
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Askey-Wilson polynomials: an affine Hecke algebra approach.
In Laredo Lectures on Orthogonal Polynomials and Special
Functions,
Adv. Theory Spec. Funct. Orthogonal Polynomials, pp. 111–144.
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30: Bibliography
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Exact linearization of a Painlevé transcendent.
Phys. Rev. Lett. 38 (20), pp. 1103–1106.
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On the degrees of irreducible factors of higher order Bernoulli polynomials.
Acta Arith. 62 (4), pp. 329–342.
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Application of the combined nonlinear-condensation transformation to problems in statistical analysis and theoretical physics.
Comput. Phys. Comm. 150 (1), pp. 1–20.
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Repeated integrals and derivatives of Bessel functions.
SIAM J. Math. Anal. 20 (1), pp. 169–175.
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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials.
Mem. Amer. Math. Soc. 54 (319), pp. iv+55.
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