$F_3$: generalised von Bertalanffy growth
k	$k\ge 2$
Parameters	${\gamma }_0:\Omega \to \mathbb{R},{\mu }_0:\mathcal{E}\to \mathbb{R},v_0:\Omega \to \mathbb{R},v_j:\mathcal{E}\to \mathbb{R},j=1,2,3.$
	$\zeta (x):={\int }_{x_b}^x\frac{\mathit{dy}}{v_0(y)}$
g	$g(x,E)=v_0(x)\left(v_1,(E),+,v_2,(E),\zeta ,(x),+,v_3,(E),\zeta ,{(x)}^2\right)$
$\mu$	$\mu (x,E)={\gamma }_0(x)g(x,E)+{\mu }_0(E)+(k-1)v_3(E)\zeta (x)$
w	$w_j(x)=exp\left({\int }_{x_b}^x,{\gamma }_0,(y),d,y\right)\zeta {(x)}^{j-1},j=1,2,\dots ,k.$
H	$H(E)=H_0(E)-{\mu }_0(E)I$
	$H_0=\left(\begin{array}{ccccc}0& -(k-1)v_3& 0& \cdots & 0\\ v_1& v_2& -(k-2)v_3& & 0\\ 0& 2v_1& 2v_2& & 0\\ ⋮& 0& 3v_1& & 0\\ & & & \ddots & \\ 0& \cdots & \cdots & (k-1)v_1& (k-1)v_2\end{array}\right)$