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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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A class of Bessel summations
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by M. L. Glasser PDF
Math. Comp. 37 (1981), 499-501 Request permission

Abstract:

A number of infinite series for which the general term contains the product of two Bessel functions are summed in closed form.
References
    P. J. DeDoelder, SIAM Rev., v. 21, 1979, Prob. 79-12, p. 395. A. Erdélyi et al., Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York, 1954.
  • I. J. Zucker and M. M. Robertson, Some properties of Dirichlet $L$-series, J. Phys. A 9 (1976), no. 8, 1207–1214. MR 412124
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 499-501
  • MSC: Primary 33A40; Secondary 42A16, 44A15
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0628710-8
  • MathSciNet review: 628710