Some Connections between Class 𝒰 - and α -Convex Functions

Edmond Aliaga; Nikola Tuneski

doi:10.1155/2014/692327

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2014 Some Connections between Class 𝒰 - and α -Convex Functions

Edmond Aliaga, Nikola Tuneski

Abstr. Appl. Anal. 2014(SI07): 1-4 (2014). DOI: 10.1155/2014/692327

Abstract

The class 𝒰 $(\lambda ,\mu )$ of normalized analytic functions that satisfy $|{(z/f(z))}^{1+\mu }·{f}^{\prime }(z)-1|<\lambda$ for all z in the open unit disk is studied and sufficient conditions for an α-convex function to be in 𝒰 $(\lambda ,\mu )$ are given.

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Edmond Aliaga. Nikola Tuneski. "Some Connections between Class 𝒰 - and α -Convex Functions." Abstr. Appl. Anal. 2014 (SI07) 1 - 4, 2014. https://doi.org/10.1155/2014/692327