Chebyshev-series expansions
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11—18 of 18 matching pages
11: 3.11 Approximation Techniques
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§3.11(ii) Chebyshev-Series Expansions
… ►Chebyshev Expansions
… ► … ►Calculation of Chebyshev Coefficients
… ►Complex Variables
…12: 7.24 Approximations
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§7.24(ii) Expansions in Chebyshev Series
…13: 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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14: 18.3 Definitions
§18.3 Definitions
…15: Bibliography R
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Rational Chebyshev approximation by Remes’ algorithms.
Numer. Math. 7 (4), pp. 322–330.
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High precision Chebyshev expansions for Airy functions and their derivatives.
Technical report
University of Birmingham Computer Centre.
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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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General Computation Methods of Chebyshev Approximation. The Problems with Linear Real Parameters.
Publishing House of the Academy of Science of the Ukrainian SSR, Kiev.
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On Simple Waves with Profiles in the form of some Special Functions—Chebyshev-Hermite, Mathieu, Whittaker—in Two-phase Media.
In Differential Operators and Related Topics, Vol. I (Odessa,
1997),
Operator Theory: Advances and Applications, Vol. 117, pp. 313–322.
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16: Bibliography D
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Chebyshev expansion of the associated Legendre polynomial
.
Comput. Phys. Comm. 18 (1), pp. 63–71.
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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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The Taylor Series.
Oxford University Press, Oxford.
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Asymptotic Expansions: Their Derivation and Interpretation.
Academic Press, London-New York.
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On Vandermonde’s theorem, and some more general expansions.
Proc. Edinburgh Math. Soc. 25, pp. 114–132.
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17: Bibliography P
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A numerical evaluator for the generalized hypergeometric series.
Comput. Phys. Comm. 77 (2), pp. 249–254.
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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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Chebyshev polynomial expansions of the Riemann zeta function.
Math. Comp. 26 (120), pp. G1–G5.
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Fourier Series and Integral Transforms.
Cambridge University Press, Cambridge.
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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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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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Chebyshev polynomial expansions of complete elliptic integrals.
Math. Comp. 19 (90), pp. 249–259.
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Chebyshev expansions for the Bessel function in the complex plane.
Math. Comp. 40 (161), pp. 343–366.
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