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Spherical Bessel functions and explicit quadrature formula

Author(s): Riadh Ben Ghanem; Clément Frappier.
Journal: Math. Comp. 66 (1997), 289-296.
MSC (1991): Primary 33C10, 41A55; Secondary 65D32
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Abstract: An evaluation of the derivative of spherical Bessel functions of order $n+\frac {1}{2}$ at its zeros is obtained. Consequently, an explicit quadrature formula for entire functions of exponential type is given.

References:

1.: C. Frappier and P. Olivier, A quadrature formula involving zeros of Bessel functions, Math. Comp. 60 (1993), 303-316. MR 93d:41025
2.: G. R. Grozev and Q. I. Rahman, A quadrature formula with zeros of Bessel functions as nodes, Math. Comp. 64 (1995), 715-725. MR 95f:65054
3.: G. N. Watson, A treatise on the theory of Bessel functions, 2nd ed., Cambridge Univ. Press, Cambridge, 1952. MR 6:64a

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Additional Information:

Riadh Ben Ghanem
Affiliation: Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Québec, Canada H3C 3J7
Email: benghanr@ere.umontreal.ca

Clément Frappier
Affiliation: Département de Mathématiques et de Génie Industruel, École Polytechnique, CP 6079, Succ. Centre Ville, Montréal, Québec, Canada H3C 3A7
Email: frappier@mathappl.polymtl.ca

DOI: 10.1090/S0025-5718-97-00794-1
PII: S 0025-5718(97)00794-1
Keywords: Bessel functions, quadrature formula, entire functions
Received by editor(s): October 6, 1995
Received by editor(s) in revised form: January 26, 1996
Additional Notes: The research of the second author was supported by the Natural Sciences and Engineering Research Council of Canada Grant No. OGP 000 9331.
Copyright of article: Copyright 1997, American Mathematical Society


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