Real analyticity of topological pressure for parabolically semihyperbolic generalized polynomial-like maps

For arbitrary parabolically semihyperbolic generalized polynomial-like maps f, we prove that on a certain interval, which contains the interval (0, HD(J(f))), the pressure function t right bar arrow P(-t log \f'\) is real-analytic. Our results generalize the work of Makarov and Smirnov in [3] and [7].