Bohr phenomenon for certain subclass of harmonic mappings

We study a subclass of univalent harmonic mappings, denoted by T-H(alpha, gamma, beta), which is harmonic analogue to the class W-beta(alpha, gamma) due to Ali et al. (J Math Anal Appl 385(2):808-822, 2012), where alpha and gamma are non-negative real numbers and 0 <= beta <1. We first compute the Bohr radius, improved Bohr radius and Bohr-Rogosinski radius for the family T-H(alpha, gamma, beta). Moreover, by making use of area and Jacobian bounds, various Bohr-type inequalities are also established. In particular, we present the Bohr phenomenon for various classical subfamilies of harmonic univalent mappings and also point out the relevant connections with the known results.