Special Functions
=================

Airy functions
--------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.airy
   maxframe.tensor.special.airye
   maxframe.tensor.special.itairy


Information Theory functions
----------------------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.entr
   maxframe.tensor.special.rel_entr


Bessel functions
----------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.jv
   maxframe.tensor.special.jve
   maxframe.tensor.special.yn
   maxframe.tensor.special.yv
   maxframe.tensor.special.yve
   maxframe.tensor.special.kn
   maxframe.tensor.special.kv
   maxframe.tensor.special.kve
   maxframe.tensor.special.iv
   maxframe.tensor.special.ive
   maxframe.tensor.special.hankel1
   maxframe.tensor.special.hankel1e
   maxframe.tensor.special.hankel2
   maxframe.tensor.special.hankel2e


Error functions and fresnel integrals
--------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.erf
   maxframe.tensor.special.erfc
   maxframe.tensor.special.erfcx
   maxframe.tensor.special.erfi
   maxframe.tensor.special.erfinv
   maxframe.tensor.special.erfcinv
   maxframe.tensor.special.wofz
   maxframe.tensor.special.dawsn
   maxframe.tensor.special.fresnel
   maxframe.tensor.special.modfresnelp
   maxframe.tensor.special.modfresnelm


Ellipsoidal harmonics
---------------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.ellip_harm
   maxframe.tensor.special.ellip_harm_2
   maxframe.tensor.special.ellip_normal


Elliptic functions and integrals
---------------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.ellipk
   maxframe.tensor.special.ellipkm1
   maxframe.tensor.special.ellipkinc
   maxframe.tensor.special.ellipe
   maxframe.tensor.special.ellipeinc
   maxframe.tensor.special.elliprc
   maxframe.tensor.special.elliprf
   maxframe.tensor.special.elliprg
   maxframe.tensor.special.elliprj


Gamma and related functions
---------------------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.gamma
   maxframe.tensor.special.gammaln
   maxframe.tensor.special.loggamma
   maxframe.tensor.special.gammasgn
   maxframe.tensor.special.gammainc
   maxframe.tensor.special.gammaincinv
   maxframe.tensor.special.gammaincc
   maxframe.tensor.special.gammainccinv
   maxframe.tensor.special.beta
   maxframe.tensor.special.betaln
   maxframe.tensor.special.betainc
   maxframe.tensor.special.betaincinv
   maxframe.tensor.special.psi
   maxframe.tensor.special.rgamma
   maxframe.tensor.special.polygamma
   maxframe.tensor.special.multigammaln
   maxframe.tensor.special.digamma
   maxframe.tensor.special.poch

Sigmoidal functions
-------------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.expit
   maxframe.tensor.special.log_expit
   maxframe.tensor.special.logit


Other special functions
-----------------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.softmax
   maxframe.tensor.special.softplus


Convenience functions
---------------------

.. autosummary::
   :toctree: generated/
   :nosignatures:

   maxframe.tensor.special.xlogy