On sandwich theorems for certain subclasses of analytic functions involving a linear operator

Abstract

Abstract. The purpose of this present paper is to derive some subordination and superordination results for certain normalized analytic functions involving complex order in the open unit disk, acted upon by Carlson-Shaffer operator. Relations of the results, which are obtained in this paper, with various known results are also presented. (2000): 30C80, 30C45. Mathematics subject classification

On differential Sandwich theorems of analytic functions defined by generalized Sălăgean integral operator

“…Some interesting results of differential subordination and superordination were obtained recently (for example) Ali et al [4], Bulboaca [5,1], Murugusundaramoorthy et al [12], Shanmugam et al [7] and Tuneski [6]. In this paper, we will derive several subordination results, superordination results and sandwich results involving the operator I n λ .…”

“…Recently, Shanmugam et al [7] obtained sufficient conditions for the normalized analytic function f to satisfy…”

Differential sandwich theorems for multivalent functions

“…A systematic study of the subordination and superordination using certain operators under the univalent case has been also studied by Shanmugam et al [18,19,20]. We observe that for the multivalent case, many of the results for the operators in (1) to (6) for the multivalent case have not yet been studied.…”

Subordination and superordination results for the family of Jung-Kim-Srivastava integral operators

“…Several subordination and superordination results involving this family of integral operators are also derived. For some other recent sandwich-type results in analytic function theory, one can find in [1,2,3,5,6,7,8,9,16,17,18,19,20,22] and the references cited therein.…”