In this paper we develop and study some integral transforms of Caratheodory functions. We apply the transforms to study certain other classes of analytic and univalent functions both to obtain new results and provide new proofs of some known ones.
Abstract. In this paper, we isolate some new, interesting classes of λ -pseudo-starlike univalent functions in the open unit disk E = {z ∈ C : |z| < 1} . Some characterizations of them are obtained and examples given.Mathematics subject classification (2010): 30C45.
In this paper we employ a technique based on the convex null properties of certain infinite sequences to study various classes of analytic and univalent functions in the open unit disk. The technique simplifies many problems of the theory of geometric functions and our results generalize and extend many earlier ones.
We extend our definition (in a recent paper [3]) of the coefficient determinants of analytic mappings of the unit disk to include many Fekete-Szego-type parameters, and compute the best possible bounds on certain specific determinants for the choice class of starlike functions.
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