.. _sphx_glr_api_gallery_special_functions_lambert_w:

Lambert W function
------------------

The inverse of w e^w and its two real branches.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="Plots W_0 and W_{-1}, the two real inverses of w e^w, which meet at the branch point z = -1/e, and uses W to solve x^x = 27.">

.. only:: html

  .. image:: /api/gallery/special_functions/lambert_w/images/thumb/sphx_glr_plot_01_lambert_w_branches_thumb.png
    :alt:

  :doc:`/api/gallery/special_functions/lambert_w/plot_01_lambert_w_branches`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">The two real branches of the Lambert W function</div>
    </div>


.. thumbnail-parent-div-close

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    </div>


.. toctree::
   :hidden:

   /api/gallery/special_functions/lambert_w/plot_01_lambert_w_branches