y1

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

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

Installation

npm install @stdlib/math-base-special-bessely1

Usage

var y1 = require( '@stdlib/math-base-special-bessely1' );

y1( x )

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

var v = y1( 0.0 );
// returns -Infinity

v = y1( 1.0 );
// returns ~-0.781

v = y1( Infinity );
// returns 0.0

If x < 0 or x is NaN, the function returns NaN.

var v = y1( -1.0 );
// returns NaN

v = y1( -Infinity );
// returns NaN

v = y1( NaN );
// returns NaN

Examples

var randu = require( '@stdlib/random-base-randu' );
var y1 = require( '@stdlib/math-base-special-bessely1' );

var x;
var i;

for ( i = 0; i < 100; i++ ) {
    x = randu() * 10.0;
    console.log( 'y1(%d) = %d', x, y1( x ) );
}

See Also

• @stdlib/math-base/special/besselj0: compute the Bessel function of the first kind of order zero.
• @stdlib/math-base/special/besselj1: compute the Bessel function of the first kind of order one.
• @stdlib/math-base/special/bessely0: compute the Bessel function of the second kind of order zero.

Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

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Copyright

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