Trigonometric Approximations for Some Bessel Functions

Abstract

Formulas are obtained for approximating the tabulated Bessel functions Jn(x), n = 0–9 in terms of trigonometric functions. These formulas can be easily integrated and differentiated and are convenient for personal computers and pocket calculators.

Keywords

• Bessel functions
• trigonometric functions
• personal computers
• pocket calculators
• engineering applications.