Title: Starlikeness and convexity of an integral transformisntegral transform
Abstract: In this paper, we find adequate conditions for a normalized analytic function f with f″(0) = 0 to be starlike or convex. In addition, we also consider the integral operator defined by [I(f)](z) = [c/(z c−1)]{∫0 z [ζ c /f(ζ)] dζ} and find conditions and identify a space ℱ so that I(f) carries ℱ into another space which is a subspace of the space of all starlike or convex functions.
Publication Year: 2004
Publication Date: 2004-06-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 12
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