Numerical Calculation of Bessel Functions

Abstract

A new computational procedure is offered to provide simple, accurate and flexible methods for using modern computers to give numerical evaluations of the various Bessel functions. The Trapezoidal Rule, applied to suitable integral representations, may become the method of choice for evaluation of the many Special Functions of mathematical physics.

10 pages

References in corpus (1)

• Numerical calculation of Bessel, Hankel and Airy functions

Cited by in corpus (4)

• A note on trigonometric approximations of Bessel functions of the first kind and trigonometric power sums
• Numerical evaluation of the Gauss hypergeometric function: Implementation and application to Schramm-Loewner evolution
• The Effect of Ground Truth Accuracy on the Evaluation of Localization Systems
• More Special Functions Trapped