Quadrature formulae using zeros of Bessel functions as nodes

Ben Ghanem, Riadh

doi:10.1090/S0025-5718-98-00882-5

Quadrature formulae using
zeros of Bessel functions as nodes

Author: Riadh Ben Ghanem
Journal: Math. Comp. 67 (1998), 323-336
MSC (1991): Primary 65D32, 41A55, 33C10
DOI: https://doi.org/10.1090/S0025-5718-98-00882-5
MathSciNet review: 1432128
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Abstract: A gaussian type quadrature formula, where the nodes are the zeros of Bessel functions of the first kind of order $\alpha$ ( $\Re(\alpha) > -1$ ), was recently proved for entire functions of exponential type. Here we relax the restriction on $\alpha$ as well as on the function. Some applications are also given.

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