Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\)

DOI10.1016/0377-0427(95)00219-7zbMath0880.65022OpenAlexW2031082720MaRDI QIDQ1919418

Frank G. Lether

Publication date: 2 February 1998

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00219-7

zbMATH Keywords

Bessel functionpositive zerosmini-max rational approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) 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 (1)

Rational expressions for the zeros of several special functions

Uses Software

• ALGOL 60

Cites Work

• An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives
• First One Hundred Zeros of J 0 (x) Accurate to 19 Significant Figures
• A Survey of Practical Rational and Polynomial Approximation of Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\)