A Quadrature Formula Involving Zeros of Bessel Functions
- 1 January 1993
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 60 (201) , 303-316
- https://doi.org/10.2307/2153168
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.
Keywords
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