Orthogonal polynomials

----------------------



Legendre functions

.......................................



:func:`legendre`

^^^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.legendre(n, x)



:func:`legenp`

^^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.legenp(n, m, z)



:func:`legenq`

^^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.legenq(n, m, z, version=2)



Chebyshev polynomials

.....................



:func:`chebyt`

^^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.chebyt(n, x)



:func:`chebyu`

^^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.chebyu(n, x)



Jacobi polynomials

..................



:func:`jacobi`

^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.jacobi(n, a, b, z)



Gegenbauer polynomials

.....................................



:func:`gegenbauer`

^^^^^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.gegenbauer(n, a, z)



Hermite polynomials

.....................................



:func:`hermite`

^^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.hermite(n, z)





Laguerre polynomials

.......................................



:func:`laguerre`

^^^^^^^^^^^^^^^^

.. autofunction:: mpmath.functions.laguerre(n, a, z)