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

Ben Ghanem, Riadh, and Frappier, Clément. "A general quadrature formula using zeros of spherical Bessel functions as nodes." ESAIM: Mathematical Modelling and Numerical Analysis 33.5 (2010): 879-893. <http://eudml.org/doc/197403>.

@article{BenGhanem2010,
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. },
author = {Ben Ghanem, Riadh, Frappier, Clément},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Quadrature; Bessel functions; Cauchy; residue.; quadrature formula; spherical Bessel functions; zeros as nodes},
language = {eng},
month = {3},
number = {5},
pages = {879-893},
publisher = {EDP Sciences},
title = {A general quadrature formula using zeros of spherical Bessel functions as nodes},
url = {http://eudml.org/doc/197403},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Ben Ghanem, Riadh
AU - Frappier, Clément
TI - A general quadrature formula using zeros of spherical Bessel functions as nodes
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 5
SP - 879
EP - 893
AB - 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.
LA - eng
KW - Quadrature; Bessel functions; Cauchy; residue.; quadrature formula; spherical Bessel functions; zeros as nodes
UR - http://eudml.org/doc/197403
ER -