Inequalities for the Zeros of Ultraspherical Polynomials and Bessel Functions

DOI10.1002/zamm.19930730910zbMath0797.33007OpenAlexW1980362623MaRDI QIDQ4292382

Knut Petras, Klaus-Jürgen Förster

Publication date: 10 October 1994

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19930730910

zbMATH Keywords

inequalitieszeros

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Numerical integration (65D30)

Related Items

Gaussian quadrature formulae -- second Peano kernels, nodes, weights and Bessel functions ⋮ An improved error bound on Gauss quadrature ⋮ Error bounds for mcmahon's asympotic approximations of the zeros of the bessel functions ⋮ Fast algorithms using orthogonal polynomials ⋮ Estimates for the variance of positive quadrature formulas ⋮ Gaussian integration of Chebyshev polynomials and analytic functions ⋮ Studies on the zeros of Bessel functions and methods for their computation ⋮ An Efficient Algorithm for the Classical Least Squares Approximation ⋮ On the computation of the Gauss-Legendre quadrature formula with a given precision ⋮ Some recent results on the zeros of Bessel functions and orthogonal polynomials ⋮ Proofs of Two Conjectures on the Real Zeros of the Cylinder and Airy Functions

Cites Work

• Unnamed Item