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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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Tables of Weyl fractional integrals for the Airy function
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by N. L. Balazs, H.-C. Pauli and O. B. Dabbousi PDF
Math. Comp. 33 (1979), 353-358 Request permission

Abstract:

Functions related to the Weyl fractional integral of the Airy function are tabulated for the 16 lowest orders and for a range of parameters of practical interest. This range, coupled with the asymptotic relations given, covers the entire real axis.
References
    M. ABRAMOWITZ & I. A. STEGUN, (Editors), Handbook of Mathematical Functions, Section 9, Dover, New York, 1965. A. ERDÉLYI, (Editor), Tables of Integral Transforms, Vol. 2, McGraw-Hill, New York, 1954, p. 201.
  • N. L. Balazs and H. C. Pauli, Quantum-mechanical operators and phase-space operators, Z. Phys. A 282 (1977), no. 2, 221–225. MR 443690, DOI 10.1007/BF01408166
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Math. Comp. 33 (1979), 353-358
  • MSC: Primary 33A40; Secondary 65A05
  • DOI: https://doi.org/10.1090/S0025-5718-1979-0514831-8
  • MathSciNet review: 514831