Under a combined dominant condition, an open problem of complex oscillation for the equation \%w (k) +Aw=0\% is set, where \%k≥3, a(z)\% is a transcendental entire function.
If the coefficients are transcendental, Bergweiler et al. proved that in all possible non-trivialfactorization f(z)=h(g(z)), the growth of the right factor g(z) can be controlled by thegrowth of the coefficients. In r...