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

• Published in: ESAIM: Mathematical Modelling and Numerical Analysis Vol. 33; no. 5; pp. 879 - 893
• Main Authors: Ben Ghanem, Riadh, Frappier, Clément
• Format: Journal Article
• Language: English
• Published: Les Ulis EDP Sciences 01.09.1999
• Subjects: 30D10; 33C10; 41A55; 65D32; Approximations and expansions; Bessel functions; Cauchy; Exact sciences and technology; Functions of a complex variable; Mathematical analysis; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Numerical approximation; Quadrature; residue; Sciences and techniques of general use; Special functions; Bessel function; Integration; Cauchy integrability; Cauchy integral formula; Lebesgue integrability; Cauchy existence; Quadrature formula; Entire function; Exponential function
• ISSN: 0764-583X; 1290-3841
• DOI: 10.1051/m2an:1999124

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. Nous obtenons,...