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Lambert W function
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== Software == The Lambert {{mvar|W}} function is implemented in many programming languages. Some of them are listed below: {| class="wikitable" ! Language !! Function name || Required library |- | rowspan=3 | [[C_(programming_language)|C]]/[[C++]] || <code>gsl_sf_lambert_W0</code> and <code>gsl_sf_lambert_Wm1</code> || Special functions section of the GNU Scientific Library (GSL)<ref>{{Cite web|url=https://www.gnu.org/software/gsl/doc/html/specfunc.html#lambert-w-functions|title=Lambert W Functions - GNU Scientific Library (GSL)}}</ref> |- | <code>lambert_w0</code>, <code>lambert_wm1</code>, <code>lambert_w0_prime</code>, and <code>lambert_wm1_prime</code> || Boost C++ libraries<ref>{{cite web | url=https://www.boost.org/doc/libs/release/libs/math/doc/html/math_toolkit/lambert_w.html|title=Lambert W function - Boost libraries}}</ref> |- | <code>LambertW</code> || LambertW-function<ref>{{Citation|last=Mező|first=István|date=2017-12-05|title=LambertW-function|url=https://github.com/IstvanMezo/LambertW-function|access-date=2024-12-13}}</ref> |- | [[PARI/GP|GP]] || <code>lambertw</code> || |- | [[Julia_(programming_language)|Julia]] || <code>lambertw</code> || <code>LambertW</code><ref>{{Cite web| url=https://github.com/JuliaMath/LambertW.jl|title = Lambert W function and associated omega constant| website=[[GitHub]] }}</ref> || |- | [[Maple_(software)|Maple]] || <code>LambertW</code><ref>{{Cite web| url=http://www.maplesoft.com/support/help/Maple/view.aspx?path=LambertW|title = LambertW - Maple Help}}</ref> || |- | [[Mathematica]] || <code>ProductLog</code> (with <code>LambertW</code> as a silent alias)<ref>[http://reference.wolfram.com/mathematica/ref/ProductLog.html ProductLog - Wolfram Language Reference]</ref> || |- | [[Matlab]] || <code>lambertw</code><ref>[http://www.mathworks.com.au/help/toolbox/symbolic/lambertw.html lambertw – MATLAB]</ref> || |- | [[Maxima_(software)|Maxima]] || <code>lambert_w</code><ref>[http://maxima.sourceforge.net Maxima, a Computer Algebra System]</ref> || |- | [[GNU Octave|Octave]] || <code>lambertw</code> || <code>specfun</code><ref>{{cite web | url=https://octave.sourceforge.io/specfun/function/lambertw.html|title=lambertw - specfun on Octave-Forge | access-date=2024-09-12}}</ref> |- | [[PARI/GP|PARI]] || <code>glambertW, lambertWC, glambertW_i, mplambertW, lambertW</code> || |- | [[Perl]] || <code>LambertW</code> || <code>ntheory</code><ref>[https://metacpan.org/pod/ntheory ntheory - MetaCPAN]</ref> |- | [[Python_(programming_language)|Python]] || <code>lambertw</code> || <code>[[scipy]]</code><ref>{{cite web | url=http://docs.scipy.org/doc/scipy-0.16.0/reference/generated/scipy.special.lambertw.html | title=Scipy.special.lambertw — SciPy v0.16.1 Reference Guide}}</ref> |- | [[R (programming language)|R]] || <code>lambertW0</code> and <code>lambertWm1</code> || <code>lamW</code><ref>{{Citation|last=Adler|first=Avraham|title=lamW: Lambert ''W'' Function|date=2017-04-24|url=https://cran.r-project.org/web/packages/lamW/index.html|access-date=2017-12-19}}</ref> |- | [[Rust_(programming_language)|Rust]] || <code>lambert_w</code>, <code>lambert_w0</code> and <code>lambert_wm1</code> || <code>lambert_w</code><ref>{{Citation|last=Sörngård|first=Johanna|date=2024-07-28|title=lambert_w|access-date=2025-03-27|url=https://crates.io/crates/lambert_w}}</ref> |}
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