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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Chebyshev expansions for modified Struve and related functions
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by Allan J. MacLeod PDF
Math. Comp. 60 (1993), 735-747 Request permission

Abstract:

We consider the approximation of the modified Struve functions ${{\mathbf {L}}_0}$ and ${{\mathbf {L}}_1}$, and the related functions ${I_0} - {{\mathbf {L}}_0}$ and ${I_1} - {{\mathbf {L}}_1}$, where ${I_0},{I_1}$ are modified Bessel functions. Chebyshev expansions are derived to an accuracy of 20D for these functions. By using generalized bilinear and biquadratic maps we optimize the number of coefficients for 20D accuracy.
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Math. Comp. 60 (1993), 735-747
  • MSC: Primary 65D20; Secondary 33C10
  • DOI: https://doi.org/10.1090/S0025-5718-1993-1176713-8
  • MathSciNet review: 1176713