Dirichlet Eta Function
Dirichlet eta function.
s is a complex variable equal to
σ + ti. The series is convergent for all complex numbers having a real part greater than
Note that the Dirichlet eta function is also known as the alternating zeta function and denoted
ζ*(s). The series is an alternating sum corresponding to the Dirichlet series expansion of the Riemann zeta function. Accordingly, the following relation holds:
ζ(s) is the Riemann zeta function.
$ npm install math-dirichlet-eta
var eta = ;
eta( s )
Evaluates the Dirichlet eta function as a function of a real variable
var v = ; // Abel sum of 1-1+1-1+...// returns 0.5v = ; // Abel sum of 1-2+3-4+...// returns 0.25v = ; // alternating harmonic series// returns 0.6931471805599453 => ln(2)v = ;// returns ~0.9096v = ;// returns NaN
var linspace = ;var eta = ;var s = ;var v;var i;for i = 0; i < slength; i++v = ;console;
To run the example code from the top-level application directory,
$ node ./examples/index.js
This repository uses tape for unit tests. To run the tests, execute the following command in the top-level application directory:
$ make test
All new feature development should have corresponding unit tests to validate correct functionality.
This repository uses Istanbul as its code coverage tool. To generate a test coverage report, execute the following command in the top-level application directory:
$ make test-cov
Istanbul creates a
./reports/coverage directory. To access an HTML version of the report,
$ make view-cov
This repository uses Testling for browser testing. To run the tests in a (headless) local web browser, execute the following command in the top-level application directory:
$ make test-browsers
To view the tests in a local web browser,
$ make view-browser-tests
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