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

Riadh Ben Ghanem; Clément Frappier

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1999)

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

How to cite

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Ben Ghanem, Riadh, and Frappier, Clément. "A general quadrature formula using zeros of spherical Bessel functions as nodes." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 33.5 (1999): 879-893. <http://eudml.org/doc/193956>.

@article{BenGhanem1999,
author = {Ben Ghanem, Riadh, Frappier, Clément},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {quadrature formula; spherical Bessel functions; zeros as nodes},
language = {eng},
number = {5},
pages = {879-893},
publisher = {Dunod},
title = {A general quadrature formula using zeros of spherical Bessel functions as nodes},
url = {http://eudml.org/doc/193956},
volume = {33},
year = {1999},
}

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 - Modélisation Mathématique et Analyse Numérique
PY - 1999
PB - Dunod
VL - 33
IS - 5
SP - 879
EP - 893
LA - eng
KW - quadrature formula; spherical Bessel functions; zeros as nodes
UR - http://eudml.org/doc/193956
ER -

References

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  1. [1] R. Ben Ghanem and C. Frappier, Spherical Bessel functions and explicit quadrature formula. Math. Comp. 66 (1997) 289-296. Zbl0854.33004MR1372005
  2. [2] R. Ben Ghanem, Quadrature formulae using zeros of Bessel functions as nodes. Math. Comp. 67 (1998) 323-336. Zbl0889.41024MR1432128
  3. [3] R. P. Boss, Summation formulas and band-limited signals. Tôhoku Math. J. 24 (1972) 121-125. Zbl0238.42009MR330915
  4. [4] R. P. Boss, Entire functions. Academic Press, New York (1954). Zbl0058.30201MR68627
  5. [5] C. Frappier and P. Olivier, A quadrature formula involving zeros of Bessel functions. Math. Comp. 60 (1993) 303-316. Zbl0794.41023MR1149290
  6. [6] G. R. Grozev and Q. I. Rahman, A quadrature formula with zeros of Bessel functions as nodes Math. Comp. 64 (1995) 715-725. Zbl0832.65016MR1277767
  7. [7] R. Kress, On the general Hermite cardinal interpolation. Math. Comp. 26 (1972) 925-933. Zbl0264.30037MR320586
  8. [8] P. Olivier and Q. I. Rahman, Sur une formule de quadrature pour les fonctions entières. RAIRO Modél. Math. Anal. Numér.20 (1986) 517-537. Zbl0617.41043MR862790
  9. [9] Q. I. Rahman and G. Schmeisser, Quadrature formulae and functions of exponential type. Math. Comp. 54 (1990) 245-270. Zbl0682.41035MR990602
  10. [10] G. N. Watson, A treatise on the theory of Bessel functions, 2nd edn. Cambridge University Press, Cambridge (1966). Zbl0174.36202MR1349110JFM48.0412.02

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