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A general quadrature formula using zeros of spherical Bessel functions as nodes

Published online by Cambridge University Press:  15 August 2002

Riadh Ben Ghanem  and
Clément Frappier
Riadh Ben Ghanem
Affiliation:
Département de Mathématiques et de Génie Industriel, École Polytechnique, CP 6079, Succ. Centre-Ville, Montréal, Québec, Canada H3C 3A7. clement.frappier@courrier.polymtl.ca.
Clément Frappier
Affiliation:
Département de Mathématiques et de Génie Industriel, École Polytechnique, CP 6079, Succ. Centre-Ville, Montréal, Québec, Canada H3C 3A7. clement.frappier@courrier.polymtl.ca.
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Abstract

We obtain, for entire functions of exponential type satisfying certain integrability conditions, a quadrature formula using the zeros of spherical Bessel functions as nodes. We deduce from this quadrature formula a result of Olivier and Rahman, which refines itself a formula of Boas.

Keywords

QuadratureBessel functionsCauchyresidue.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 5 , September 1999 , pp. 879 - 893
Copyright
© EDP Sciences, SMAI, 1999

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