{{alias}}( t, α, β )
    Evaluates the moment-generating function (MGF) for a beta distribution with
    first shape parameter `α` and second shape parameter `β` at a value `t`.

    If provided `NaN` as any argument, the function returns `NaN`.

    If `α <= 0` or `β <= 0`, the function returns `NaN`.

    Parameters
    ----------
    t: number
        Input value.

    α: number
        First shape parameter.

    β: number
        Second shape parameter.

    Returns
    -------
    out: number
        Evaluated MGF.

    Examples
    --------
    > var y = {{alias}}( 0.5, 1.0, 1.0 )
    ~1.297
    > y = {{alias}}( 0.5, 2.0, 4.0 )
    ~1.186
    > y = {{alias}}( 3.0, 2.0, 2.0 )
    ~5.575
    > y = {{alias}}( -0.8, 4.0, 4.0 )
    ~0.676

    > y = {{alias}}( NaN, 1.0, 1.0 )
    NaN
    > y = {{alias}}( 0.0, NaN, 1.0 )
    NaN
    > y = {{alias}}( 0.0, 1.0, NaN )
    NaN

    > y = {{alias}}( 2.0, -1.0, 0.5 )
    NaN
    > y = {{alias}}( 2.0, 0.0, 0.5 )
    NaN

    > y = {{alias}}( 2.0, 0.5, -1.0 )
    NaN
    > y = {{alias}}( 2.0, 0.5, 0.0 )
    NaN


{{alias}}.factory( α, β )
    Returns a function for evaluating the moment-generating function (MGF) of a
    beta distribution with first shape parameter `α` and second shape parameter
    `β`.

    Parameters
    ----------
    α: number
        First shape parameter.

    β: number
        Second shape parameter.

    Returns
    -------
    mgf: Function
        Moment-generating function (MGF).

    Examples
    --------
    > var myMGF = {{alias}}.factory( 0.5, 0.5 );
    > var y = myMGF( 0.8 )
    ~1.552
    > y = myMGF( 0.3 )
    ~1.168

    See Also
    --------