Computing zeros and orders of Bessel functions

DOI10.1016/0377-0427(91)90169-KzbMath0758.65011MaRDI QIDQ1184121

Yasuhiko Ikebe, Yasushi Kikuchi, Issei Fujishiro

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergenceNewton's methodeigenvalue problemzeros of Bessel functionscompact matrix operator

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items

Evaluating infinite integrals involving Bessel functions of arbitrary order ⋮ A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions ⋮ Towards the optimality of the ball for the Rayleigh conjecture concerning the clamped plate ⋮ Special functions and spectrum of Jacobi matrices ⋮ Exact results in a \(\mathcal{N} = 2\) superconformal gauge theory at strong coupling ⋮ The eigenvalue problem for infinite compact complex symmetric matrices with application to the numerical computation of complex zeros of \(J_ 0(z)- iJ_ 1(z)\) and of Bessel functions \(J_ m(z)\) of any real order \(m\)

Uses Software

• EISPACK

Cites Work

• Homotopy algorithm for symmetric eigenvalue problems
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Monotonicity in Terms of Order of the Zeros of the Derivatives of Bessel Functions
• FURTHER RESULTS ON THE ZEROS OF BESSEL FUNCTIONS
• On the Zeros of Derivatives of Bessel Functions
• The Zeros of Regular Coulomb Wave Functions and of Their Derivative
• Method for Evaluation of Zeros of Bessel Functions
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