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In this paper we discuss the class T (1/2) of typically real functions in

Three other classes: KR, S^*_R(1/2) and K_R(i), consisting of convex functions, starlike functions of order 1/2 and convex in the direction of the imaginary axis, all with real coefficients, are contained in T (1/2). The main idea of the paper is to obtain some distorsion results concerning T (1/2) and apply them in solving analogous problems in K_R, S^*_R(1/2), K_R(i).

Mathematics Subject Classification (2010): 30C45, 30C25.

Keywords: Typically real functions, univalent functions, distortion theorems.