Univalent Functions Formulated by the Salagean-Difference Operator

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Rabha W. Ibrahim, Maslina Darus, Univalent Functions Formulated by the Salagean-Difference Operator, Int. J. Anal. Appl., 17 (4) (2019), 652-658.

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Rabha W. Ibrahim, Maslina Darus

Abstract

We present a class of univalent functions Tm(κ, α) formulated by a new differential-difference operator in the open unit disk. The operator is a generalization of the well known Salagean's differential operator. Based on this operator, we define a generalized class of bounded turning functions. Inequalities, extreme points of Tm(κ, α), some convolution properties of functions fitting to Tm(κ, α), and other properties are discussed.

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References

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