 Then, by applying the more general result obtained above it can be shown that

converges for every complex number "z" except when "z" is a negative real number and "z" < −¼.Moreover, this continued fraction "y" converges to the particular value of

that has the larger absolute value (except when "z" is real and "z" < −¼, in which case the two fixed points of the LFT generating "y" have equal moduli and "y" diverges by oscillation).By applying another equivalence transformation the condition that guarantees convergence of

can also be determined.