Legendre%20polynomials
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11—14 of 14 matching pages
11: Bibliography P
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Zonal Polynomials of Order Through
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In Selected Tables in Mathematical Statistics, H. L. Harter and D. B. Owen (Eds.),
Vol. 2, pp. 199–388.
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Orthogonal polynomials and some -beta integrals of Ramanujan.
J. Math. Anal. Appl. 112 (2), pp. 517–540.
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A new basis for the representation of the rotation group. Lamé and Heun polynomials.
J. Mathematical Phys. 14 (8), pp. 1130–1139.
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Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
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Sur une généralisation des polynomes de Legendre.
C. R. Acad. Sci. Paris 228, pp. 1363–1365.
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12: Bibliography S
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Transformations of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean.
SIAM J. Math. Anal. 20 (6), pp. 1514–1528.
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Evaluation of associated Legendre functions off the cut and parabolic cylinder functions.
Electron. Trans. Numer. Anal. 9, pp. 137–146.
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Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
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A Maple package for symmetric functions.
J. Symbolic Comput. 20 (5-6), pp. 755–768.
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On an inequality of P. Turán concerning Legendre polynomials.
Bull. Amer. Math. Soc. 54, pp. 401–405.
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13: Errata
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Equations (18.17.45), (18.17.46)
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Chapters 10 Bessel Functions, 18 Orthogonal Polynomials, 34 3j, 6j, 9j Symbols
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Chapters 1 Algebraic and Analytic Methods, 10 Bessel Functions, 14 Legendre and Related Functions, 18 Orthogonal Polynomials, 29 Lamé Functions
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Chapters 14 Legendre and Related Functions, 15 Hypergeometric Function
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Chapters 8, 20, 36
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18.17.45
18.17.46
The equivalences in terms of and were added.
Over the preceding two months, the subscript parameters of the Ferrers and Legendre functions, and the Laguerre polynomial, , were incorrectly displayed as superscripts. Reported by Roy Hughes on 2022-05-23
14: Bibliography D
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Chebyshev expansion of the associated Legendre polynomial
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Comput. Phys. Comm. 18 (1), pp. 63–71.
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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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Uniform asymptotic expansions for associated Legendre functions of large order.
Proc. Roy. Soc. Edinburgh Sect. A 133 (4), pp. 807–827.
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The Legendre Relation for Elliptic Integrals.
In Paul Halmos: Celebrating 50 Years of Mathematics, J. H. Ewing and F. W. Gehring (Eds.),
pp. 305–315.
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