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

Riadh Ben Ghanem; Clément Frappier

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 5, page 879-893
- ISSN: 0764-583X

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topBen 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 -

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