Bohr radius for certain classes of starlike and convex univalent functions

We say that a class F consisting of analytic functions f (z) = E-n=0 infinity a(n)z(n) in the unit disk D := {z E C : vertical bar z vertical bar < 1} satisfies a Bohr phenomenon if there exists r(f) is an element of (0, 1) such that Sigma(infinity)(n=1) vertical bar a(n)z(n)vertical bar <= d(f (0) partial derivative f (D)) for every function f is an element of F and 1 vertical bar z vertical bar = r <= r(f), where d is the Euclidean distance. The largest radius r(f) is the Bohr radius for the class F. In this paper, we establish the Bohr phenomenon for the classes consisting of Ma-Minda type starlike functions and Ma-Minda type convex functions as well as for the class of starlike functions with respect to a boundary point. (c) 2020 Elsevier Inc. All rights reserved.