@stdlib/math-base-special-riemann-zeta
    TypeScript icon, indicating that this package has built-in type declarations

    0.0.5 • Public • Published

    Riemann Zeta Function

    NPM version Build Status Coverage Status dependencies

    Riemann zeta function.

    The Riemann zeta function is the analytic continuation of the infinite series

    Riemann zeta function

    where s is a complex variable equal to σ + ti. The series is only convergent when the real part of s, σ, is greater than 1.

    Installation

    npm install @stdlib/math-base-special-riemann-zeta

    Usage

    var zeta = require( '@stdlib/math-base-special-riemann-zeta' );

    zeta( s )

    Evaluates the Riemann zeta function as a function of a real variable s (i.e., t = 0).

    var v = zeta( 1.1 );
    // returns ~10.584
    
    v = zeta( -4.0 );
    // returns 0.0
    
    v = zeta( 70.0 );
    // returns 1.0
    
    v = zeta( 0.5 );
    // returns ~-1.46
    
    v = zeta( 1.0 ); // pole
    // returns NaN
    
    v = zeta( NaN );
    // returns NaN

    Examples

    var linspace = require( '@stdlib/array-linspace' );
    var zeta = require( '@stdlib/math-base-special-riemann-zeta' );
    
    var s;
    var v;
    var i;
    
    s = linspace( -50.0, 50.0, 200 );
    for ( i = 0; i < s.length; i++ ) {
        v = zeta( s[ i ] );
        console.log( 's: %d, ζ(s): %d', s[ i ], v );
    }

    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.

    Community

    Chat


    License

    See LICENSE.

    Copyright

    Copyright © 2016-2021. The Stdlib Authors.

    Install

    npm i @stdlib/math-base-special-riemann-zeta

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    16

    Version

    0.0.5

    License

    Apache-2.0 AND BSL-1.0

    Unpacked Size

    80.3 kB

    Total Files

    21

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser