Abstract
In this paper the author derives several interesting differential subordination results. These subordinations are established by means of a differential operator obtained using Ruscheweyh derivative R m f(z) and the multiplier transformations \(I\left (m,\lambda,l\right )f(z)\), namely \(RI_{m,\lambda,l}^{\alpha }\) the operator given by
for z ∈ U, \(m \in \mathbb{N}\), \(\lambda,l \geq 0\) and
with \(\mathcal{A}_{1} = \mathcal{A}\). A number of interesting consequences of some of these subordination results are discussed. Relevant connections of some of the new results obtained in this paper with those in earlier works are also provided.
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References
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Alb Lupaş, A. (2016). Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation. In: Anastassiou, G., Duman, O. (eds) Computational Analysis. Springer Proceedings in Mathematics & Statistics, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-319-28443-9_8
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DOI: https://doi.org/10.1007/978-3-319-28443-9_8
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