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Displaying similar documents to “Convex functions in a half-plane.”

On univalence of an integral operator

Szymon Ignaciuk (2009)

Annales UMCS, Mathematica

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We consider the problem of univalence of the integral operator [...] Imposing on functions f(z), g(z) various conditions and making use of a close-to-convexity property of the operator, we establish many suffcient conditions for univalence. Our results extend earlier ones. Some questions remain open.

Alternative Characterization of the Class k-UCV and Related Classes of Univalent Functions

Kanas, Stanislawa (1999)

Serdica Mathematical Journal

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In this paper an alternative characterization of the class of functions called k -uniformly convex is found. Various relations concerning connections with other classes of univalent functions are given. Moreover a new class of univalent functions, analogous to the ’Mocanu class’ of functions, is introduced. Some results concerning this class are derived.