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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 quadrature formula involving zeros of Bessel functions
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by Clément Frappier and Patrick Olivier PDF
Math. Comp. 60 (1993), 303-316 Request permission

Abstract:

An exact quadrature formula for entire functions of exponential type is obtained. The nodes of the formula are zeros of the Bessel function of the first kind of order $\alpha$. It generalizes and refines a known quadrature formula related to the sampling theorem. The uniqueness of the nodes is studied.
References
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Math. Comp. 60 (1993), 303-316
  • MSC: Primary 41A55; Secondary 65D32
  • DOI: https://doi.org/10.1090/S0025-5718-1993-1149290-5
  • MathSciNet review: 1149290