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

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

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

   mars.tensor.special.airy
   mars.tensor.special.airye
   mars.tensor.special.itairy


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

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

   mars.tensor.special.entr
   mars.tensor.special.rel_entr


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

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

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


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

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

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


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

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

   mars.tensor.special.ellip_harm
   mars.tensor.special.ellip_harm_2
   mars.tensor.special.ellip_normal


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

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

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


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

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

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


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

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

   mars.tensor.special.xlogy