j1

Compute the Bessel function of the first kind of order one.

The Bessel function of the first kind of order one is defined as

upper J 1 left-parenthesis x right-parenthesis equals StartFraction 1 Over 2 pi EndFraction integral Subscript negative pi Superscript pi Baseline e Superscript i left-parenthesis tau minus x sine left-parenthesis tau right-parenthesis right-parenthesis Baseline d tau

Usage

var j1 = require( '@stdlib/math/base/special/besselj1' );

j1( x )

Computes the Bessel function of the first kind of order one at x.

var v = j1( 0.0 );
// returns 0.0

v = j1( 1.0 );
// returns ~0.440

v = j1( Infinity );
// returns 0.0

v = j1( -Infinity );
// returns 0.0

v = j1( NaN );
// returns NaN

Examples

var randu = require( '@stdlib/random/base/randu' );
var j1 = require( '@stdlib/math/base/special/besselj1' );

var x;
var i;

for ( i = 0; i < 100; i++ ) {
    x = randu() * 10.0;
    console.log( 'j1(%d) = %d', x, j1( x ) );
}