Generalized k‐Uniformly Close‐to‐Convex Functions Associated with Conic Regions

Khalida Inayat Noor

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We define and study some subclasses of analytic functions by using a certain multiplier transformation. These functions map the open unit disc onto the domains formed by parabolic and hyperbolic regions and extend the concept of uniformly close‐to‐convexity. Some interesting properties of these classes, which include inclusion results, coefficient problems, and invariance under certain integral operators, are discussed. The results are shown to be the best possible.

Date: 2012
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https://doi.org/10.1155/2012/274985

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:274985

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