Differential Subordination and Superordination for a Generalized Differential Operator Involving Mittag-Leffler Function


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Authors: S. ELHADDAD AND M. DARUS

DOI: 10.46793/KgJMat2105.699E

Abstract:

Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator ^ℋδ,pm(α,β,a1,b1)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.



Keywords:

Analytic functions, starlike functions, linear operator, superordination, subordination, Mittag-Leffler function.



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