Bohr Radius for Certain Analytic Functions

For an analytic self-mapping \(f(z)=\sum _{n=0}^\infty a_nz^n\) of the unit disk \(\mathbb {D}\), it is well-known that \( \sum _{n=0}^\infty |a_n|\, |z|^n \le 1\) for \(|z|\le 1/3\) and the number 1/3, known as the Bohr radius for the class of analytic self-mappings of \(\mathbb {D}\), is sharp. We have obtained the Bohr radius for the class of \(\alpha \)-spiral functions of order \(\rho \) and the Bohr radius for the class of analytic functions f defined on the unit disk satisfying the differential subordination \(f(z)+\beta z f'(z)+\gamma z^2 f''(z)\prec h(z)\).