| Issue |
ESAIM: M2AN
Volume 33, Number 5, September October 1999
|
|
|---|---|---|
| Page(s) | 879 - 893 | |
| DOI | https://doi.org/10.1051/m2an:1999124 | |
| Published online | 15 August 2002 | |
A general quadrature formula using zeros of spherical Bessel functions as nodes
Département de Mathématiques et de Génie Industriel,
École Polytechnique, CP 6079, Succ. Centre-Ville, Montréal, Québec,
Canada H3C 3A7. clement.frappier@courrier.polymtl.ca.
Received:
13
July
1998
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.
Résumé
Nous obtenons, pour les fonctions entières de type exponentiel satisfaisant certaines conditions d'intégrabilité, une formule de quadrature utilisant les zéros des fonctions de Bessel sphériques comme nœuds. Nous déduisons de cette formule un résultat de Olivier et Rahman, lequel est lui-même un raffinement d'une formule préalablement obtenue par Boas.
Mathematics Subject Classification: 30D10 / 33C10 / 41A55 / 65D32
Key words: Quadrature / Bessel functions / Cauchy / residue.
© EDP Sciences, SMAI, 1999
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