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Mathematics of Computation

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A quadrature formula with zeros of Bessel functions as nodes

Authors: Georgi R. Grozev and Qazi I. Rahman
Journal: Math. Comp. 64 (1995), 715-725
MSC: Primary 65D32; Secondary 30D10, 33C10
MathSciNet review: 1277767
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Abstract: A quadrature formula for entire functions of exponential type wherein the nodes are the zeros of the Bessel function of the first kind was recently obtained by C. Frappier and P. Olivier. Here the condition imposed on the function is relaxed. Some applications of the formula are also given.

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Keywords: Quadrature formulae, entire functions of exponential type, zeros of Bessel functions, Carlson’s theorem
Article copyright: © Copyright 1995 American Mathematical Society