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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

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
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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Additional Information

Riadh Ben Ghanem
Affiliation: Département de Mathématiques et de Statistique, Université de Montréal, C. P. 6128, Succ. Centre-Ville, Montréal, Québec, Canada H3C 3J7
Email: benghanr@ere.umontreal.ca

DOI: http://dx.doi.org/10.1090/S0025-5718-98-00882-5
PII: S 0025-5718(98)00882-5
Keywords: Quadrature formulae, entire functions, Bessel functions.
Received by editor(s): March 27, 1996
Received by editor(s) in revised form: September 11, 1996
Article copyright: © Copyright 1998 American Mathematical Society