  We obtain spectral estimates for the iterations of Ruelle operator $L_{f + (a
+ \i b)\tau + (c + \i d) g}$ with two complex parameters and H\"{o}lder
functions $f,\: g$ generalizing the case $\Pr(f) =0$ studied in [PeS2]. As an
application we prove a sharp large deviation theorem concerning exponentially
shrinking intervals which improves the result in [PeS1].
