A general quadrature formula using zeros of spherical Bessel functions as nodes
Ben Ghanem, Riadh; Frappier, Clément; Ben Ghanem Riadh; Département de Mathématiques et de Génie Industriel, École Polytechnique, CP 6079, Succ. Centre-Ville, Montréal, Québec, Canada H3C 3A7. clement.frappier@courrier.polymtl.ca.; Frappier Clément; Département de Mathématiques et de Génie Industriel, École Polytechnique, CP 6079, Succ. Centre-Ville, Montréal, Québec, Canada H3C 3A7. clement.frappier@courrier.polymtl.ca.
Журнал:
ESAIM: Mathematical Modelling and Numerical Analysis
Дата:
1999
Аннотация:
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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