$G_1=\cosh \frac{\alpha }{2}\left(h_1-h_2\right)$

$D_3=\sinh \left(\alpha h_2\right)-\sinh \left(\alpha h_1\right)$

$F_2=E_4{E}_2$

$G_2=\sinh \frac{\alpha }{2}\left(h_1-h_2\right)$

$D_4=\cosh \left(\alpha h_2\right)-\cosh \left(\alpha h_1\right)$

$F_3=E_4{E}_3$

$B_1=\frac{-\left(h_1+h_2\right)\left[F\alpha G_1+2G_2\right]}{2\left(h_1-h_2\right)\alpha G_1-4G_2}$

$E_1=\left(B_3^2-B_4^2\right)/2$

$F_4=E_5{B}_3$

$B_2=\frac{F\alpha G_1+2G_2}{\left(h_1-h_2\right)\alpha G_1-2G_2}$

$E_2=\frac{B_3^2+B_4^2}{2}$

$F_5=E_5{B}_4$

$B_3=\frac{\left(h_1-h_2+F\right)\sinh \frac{\alpha }{2}\left(h_1+h_2\right)}{\left(h_1-h_2\right)\alpha G_1-2G_2}$

$E_3=B_3{B}_4$

$P_1=Br\left(1+1/\beta \right)$

$B_4=\frac{-\left(h_1-h_2+F\right)\cosh \frac{\alpha }{2}\left(h_1+h_2\right)}{\left(h_1-h_2\right)\alpha G_1-2G_2}$

$E_4=\frac{P_1{\alpha }^2+P_2}{4}$

$P_2=Br\frac{M^2}{1+m^2}$

$D_1=\cosh \left(2\alpha h_2\right)-\cosh \left(2\alpha h_1\right)$

$E_5=2P_2{P}_3/\alpha$

$P_3=1+B_2$

$D_2=\sinh \left(2\alpha h_2\right)-\sinh \left(2\alpha h_1\right)$

$F_1=\left(\left(P_1{\alpha }^2-P_2\right)E_1{\alpha }^2+P_1{P}_3^2\right)/2$

$B_5=\left[1+F_1\left(h_2^2-h_1^2\right)+F_2{D}_1+F_3{D}_2+F_4{D}_3+F_5{D}_4\right]/\left(h_2-h_1\right)$

$B_6=-B_5{h}_1-F_1{h}_1{}^2-F_2\cosh \left(2\alpha h_1\right)-F_3\sinh \left(2\alpha h_1\right)-F_4\sinh \left(\alpha h_1\right)-F_5\cosh \left(\alpha h_1\right)$