Spherical Bessel functions and explicit quadrature formula
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- by Riadh Ben Ghanem and Clément Frappier PDF
- Math. Comp. 66 (1997), 289-296 Request permission
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
- Clément Frappier and Patrick Olivier, A quadrature formula involving zeros of Bessel functions, Math. Comp. 60 (1993), no. 201, 303–316. MR 1149290, DOI 10.1090/S0025-5718-1993-1149290-5
- Georgi R. Grozev and Qazi I. Rahman, A quadrature formula with zeros of Bessel functions as nodes, Math. Comp. 64 (1995), no. 210, 715–725. MR 1277767, DOI 10.1090/S0025-5718-1995-1277767-2
- Albert Eagle, Series for all the roots of the equation $(z-a)^m=k(z-b)^n$, Amer. Math. Monthly 46 (1939), 425–428. MR 6, DOI 10.2307/2303037
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
- 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 1997 American Mathematical Society
- Journal: Math. Comp. 66 (1997), 289-296
- MSC (1991): Primary 33C10, 41A55; Secondary 65D32
- DOI: https://doi.org/10.1090/S0025-5718-97-00794-1
- MathSciNet review: 1372005