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

Riadh Ben Ghanem; Clément Frappier — 1999

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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

Riadh Ben Ghanem; Clément Frappier — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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.

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