%feature("docstring") OT::OrthogonalUniVariatePolynomial
"Base class for orthogonal univariate polynomials.

.. warning::

    Orthogonal univariate polynomials are not intended to be created manually.
    They should be constructed with the subclasses of
    :class:`~openturns.OrthogonalUniVariatePolynomialFamily` (like e.g.
    :class:`~openturns.HermiteFactory`). Constructor parameters are therefore
    intentionally not documented.

See Also
--------
OrthogonalUniVariatePolynomialFamily

Examples
--------
>>> import openturns as ot

Create a univariate polynomial from a list of coefficients:

>>> for i in range(3):
...     print(ot.OrthogonalUniVariatePolynomialFamily().build(i))
1
X
-0.707107 + 0.707107 * X^2"

// ---------------------------------------------------------------------

%feature("docstring") OT::OrthogonalUniVariatePolynomial::getRecurrenceCoefficients
"Accessor to the recurrence coefficients.

Returns
-------
recurrence_coefficients : list of :class:`Point`
    The list of recurrence coefficients that defined the orthogonal univariate
    polynomial from the very first univariate orthogonal polynomial
    :math:`P_0`.

Notes
-----
Any sequence of orthogonal polynomials has a recurrence formula relating any
three consecutive polynomials as follows:

.. math::

    P_{i + 1} = (a_i x + b_i) P_i + c_i P_{i - 1}, \quad i > 1

Examples
--------
>>> import openturns as ot
>>> polynomial = ot.OrthogonalUniVariatePolynomialFamily().build(2)
>>> print(polynomial.getRecurrenceCoefficients())
[[1,0,0],[0.707107,0,-0.707107]]"