Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-04T20:10:01.702Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  15 August 2002

Riadh Ben Ghanem
Affiliation:
Département de Mathématiques et de Génie Industriel, École Polytechnique, CP 6079, Succ. Centre-Ville, Montréal, Québec, Canada H3C 3A7. [email protected].
Clément Frappier
Affiliation:
Département de Mathématiques et de Génie Industriel, École Polytechnique, CP 6079, Succ. Centre-Ville, Montréal, Québec, Canada H3C 3A7. [email protected].
Get access

Abstract

We obtain, for entire functions of exponential type satisfying certainintegrability conditions, a quadrature formula using the zeros of sphericalBessel functions as nodes. We deduce from this quadrature formula aresult of Olivier and Rahman, which refines itself a formula of Boas.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)