Chebyshev series
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11: 7.24 Approximations
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§7.24(ii) Expansions in Chebyshev Series
… ►Shepherd and Laframboise (1981) gives coefficients of Chebyshev series for on (22D).
12: 3.11 Approximation Techniques
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§3.11(ii) Chebyshev-Series Expansions
… ► … ►Calculation of Chebyshev Coefficients
… ►Summation of Chebyshev Series: Clenshaw’s Algorithm
… ►Complex Variables
…13: 29.15 Fourier Series and Chebyshev Series
14: Bibliography Z
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Chebyshev series approximations for the Bessel function of complex argument.
Appl. Math. Comput. 88 (2-3), pp. 275–286.
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15: Bibliography P
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Chebyshev series approximations for the zeros of the Bessel functions.
J. Comput. Phys. 53 (1), pp. 188–192.
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Algorithm 498: Airy functions using Chebyshev series approximations.
ACM Trans. Math. Software 1 (4), pp. 372–379.
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16: 7.6 Series Expansions
§7.6 Series Expansions
►§7.6(i) Power Series
… ►The series in this subsection and in §7.6(ii) converge for all finite values of . ►§7.6(ii) Expansions in Series of Spherical Bessel Functions
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7.6.9
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17: Bibliography R
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Remark on Algorithm 498: Airy functions using Chebyshev series approximations.
ACM Trans. Math. Software 7 (3), pp. 404–405.
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18: Bibliography C
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A note on the summation of Chebyshev series.
Math. Tables Aids Comput. 9 (51), pp. 118–120.
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The numerical solution of linear differential equations in Chebyshev series.
Proc. Cambridge Philos. Soc. 53 (1), pp. 134–149.
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Chebyshev Series for Mathematical Functions.
National Physical Laboratory Mathematical Tables, Vol. 5.
Department of Scientific and Industrial Research, Her Majesty’s Stationery Office, London.
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19: 18.3 Definitions
§18.3 Definitions
… ►Explicit power series for Chebyshev, Legendre, Laguerre, and Hermite polynomials for are given in §18.5(iv). For explicit power series coefficients up to for these polynomials and for coefficients up to for Jacobi and ultraspherical polynomials see Abramowitz and Stegun (1964, pp. 793–801). …20: Bibliography D
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Chebyshev series for the spherical Bessel function
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Comput. Phys. Comm. 18 (1), pp. 73–86.
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