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The integral formulae for the classes of univalent functions having real coefficients, namely for CVR, CVR(i), STR(1/2) consisting of convex functions, convex in the direction of the imaginary axis functions, and starlike of order 1/2 functions, are known. However, studying those classes with the use of appropriate formulae is rather difficult. The main idea of this article is to obtain some results for the special class TR(1/2), which is a superclass of CVR, CVR(i), STR(1/2). It occurs that the results remain true also for these subclasses of TR(1/2). We will be concerned with the generalized Koebe domains and generalized covering domains over some subsets of .
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