Formulas for computation of approximate values of some Bessel functions

Formulas are obtained for J
0
(x),J
1
(x),J
2
(x),I
0
(Y),I
1
(y), I
2
(Y), in terms of trigonometric and hyperbolic functions. These give accuracy suitable for many practical purposes for values of x up to about 4, or even higher in one case, and for greater values of y.