Geodesic
On problems of univalence for the class $TR(1/2)$
Problemy analiza, no. 14 (2007), pp. 67-76.

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In this paper we discuss the class $TR(\frac{1}{2})$ consisted of typically real functions given by the integral formula $f(z) = \int \limits_{-1}^{1}\frac{z}{\sqrt{1-2zt+z^2}}d\mu(t)$, where $\mu$ is the probability measure on $[-1, 1]$.The problems of local univalence, univalence, convexity in the direction of real and imaginary axes are examined. This paper is the continuation of research on $TR(\frac{1}{2})$, especially concerning problems, which results were published in [5]. 
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     author = {M. Sobczak-Kne\'c and P. Zaprawa},
     title = {On problems of univalence for the class $TR(1/2)$},
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     url = {http://geodesic.mathdoc.fr/item/PA_2007_14_a6/}
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M. Sobczak-Kneć; P. Zaprawa. On problems of univalence for the class $TR(1/2)$. Problemy analiza, no. 14 (2007), pp. 67-76. http://geodesic.mathdoc.fr/item/PA_2007_14_a6/