Geodesic
Differential Subordination and Superordination for a New Differential Operator Containing Mittag-Leffler Function
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 699

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Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator $ \widetilde{\mathcal{H}}_{\delta,p}^{m}(\alpha,\beta,a_{1},b_{1})f(z) $ is newly introduced in this study. The main objective of this paper is to investigate various subordination and superordination related to the aforementioned generalised linear derivative operator. Additionally, the resultant sandwich-type of this operator is also considered.
Classification : 30C45 11M35, 30C10
Keywords: analytic functions, starlike functions, linear operator, superordination, subordination, Mittag-Leffler function 
Suhila Elhaddad; Maslina Darus. Differential Subordination and Superordination for a New Differential Operator Containing Mittag-Leffler Function. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 699 . http://geodesic.mathdoc.fr/item/KJM_2021_45_5_a2/
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     author = {Suhila Elhaddad and Maslina Darus},
     title = {Differential {Subordination} and {Superordination} for a {New} {Differential} {Operator} {Containing} {Mittag-Leffler} {Function}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {699 },
     year = {2021},
     volume = {45},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_5_a2/}
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