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Koebe domains for the class of typically real functions that are convex in two directions

100%

Gregorczyk M. , Koczan L.

tom Vol. 24, nr 2

167--173

In this paper, we discuss the class of typically real functions that are convex in two directions. We determine the Koebe domain for this class and its different representations.

On circularly symmetric functions

100%

Koczan L. , Zaprawa P.

2014

tom Vol. 37

59--66

[...] In this paper besides X we also consider some of its subclasses: X(...) and Y (...) S consisting of functions in X with the second coeffcient fixed and univalent starlike functions respectively. According to the suggestion, in Abstract we add one more paragraph at the end of the section: For X(...) we find the radii of starlikeness, starlikeness of order (alfa), univalence and local univalence. We also obtain some distortion results. For Y (...) S we discuss some coecient problems, among others the Fekete-Szego ineqalities.