Differential subordinations and superordinations for analytic functions defined by S˘al˘agean integro-differential operator
DOI:
https://doi.org/10.24193/subbmath.2019.4.03Keywords:
Sălăgean integro-differential operator, differential subordination, differential superordination, dominant, best dominant, ”sandwich-type theorem”.Abstract
In this paper we consider the linear operator L n : A → A, L nf (z) = (1 − λ) Dnf (z) + λInf (z) , where Dn is the S˘al˘agean differential operator and In is the S˘ala˘gean integral operator. We give some results and applications for differential subordinations and superordinations for analytic functions and we will determine some properties on admissible functions defined with the new operator.
Mathematics Subject Classification (2010): 30C45, 30C80.
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