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Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions

M. Arif, K. I. Noor, M. Raza and W. Haq

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

Abstract: We define a class T̃k [A, B, α, ρ] of analytic functions by using Janowski’s functions which generalizes a number of classes studied earlier such as the class of strongly close‐to‐convex functions. Some properties of this class, including arc length, coefficient problems, and a distortion result, are investigated. We also discuss the growth of Hankel determinant problem.

Date: 2012
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https://doi.org/10.1155/2012/279843

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