Geodesic
Subordination results for a fractional integral operator
Problemy analiza, Tome 11 (2022) no. 1, pp. 20-31.

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In this paper, we establish several differential subordinations regarding the operator $D_{z}^{-\lambda }SR^{m,n}$ defined using the fractional integral of the differential operator $SR^{m,n}$, obtained as a convolution product of Sălăgean operator $S^{m}$ and Ruscheweyh derivative $R^{n}$. By means of the newly obtained operator, a new subclass of analytic functions denoted by $\mathcal{SR}_{m,n,\lambda }\left( \delta \right) $ is introduced and various properties and characteristics of this class are derived, making use of the concept of differential subordination.
Keywords: analytic function, differential subordination, fractional integral, Sălăgean operator, Ruscheweyh derivative.
Mots-clés : convolution product 
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A. Alb Lupaş. Subordination results for a fractional integral operator. Problemy analiza, Tome 11 (2022) no. 1, pp. 20-31. http://geodesic.mathdoc.fr/item/PA_2022_11_1_a1/

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