
{{alias}}( t, k, λ )
    Evaluates the moment-generating function (MGF) for an Erlang distribution
    with shape parameter `k` and rate parameter `λ` at a value `t`.

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

    If not provided a nonnegative integer for `k`, the function returns `NaN`.

    If provided a non-positive value for `λ`, the function returns `NaN`.

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

    k: number
        Shape parameter.

    λ: number
        Rate parameter.

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

    Examples
    --------
    > var y = {{alias}}( 0.3, 1, 1.0 )
    ~1.429
    > y = {{alias}}( 2.0, 2, 3.0 )
    ~9.0
    > y = {{alias}}( -1.0, 2, 2.0 )
    ~0.444

    > y = {{alias}}( NaN, 1, 1.0 )
    NaN
    > y = {{alias}}( 0.0, NaN, 1.0 )
    NaN
    > y = {{alias}}( 0.0, 1, NaN )
    NaN

    > y = {{alias}}( 0.2, -2, 0.5 )
    NaN
    > y = {{alias}}( 0.2, 0.5, 0.5 )
    NaN

    > y = {{alias}}( 0.2, 1, 0.0 )
    NaN
    > y = {{alias}}( 0.2, 1, -5.0 )
    NaN


{{alias}}.factory( k, λ )
    Returns a function for evaluating the moment-generating function (MGF) of an
    Erlang distribution with shape parameter `k` and rate parameter `λ`.

    Parameters
    ----------
    k: number
        Shape parameter.

    λ: number
        Rate parameter.

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

    Examples
    --------
    > var myMGF = {{alias}}.factory( 2, 0.5 );
    > var y = myMGF( 0.2 )
    ~2.778
    > y = myMGF( -0.5 )
    0.25

    See Also
    --------

