On the subordination under Bernardi operator

Subordination and Superordination Properties for Convolution Operator

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

Some Subordination Criteria concerning the Sǎlǎgean Operator

Applying Sǎlǎgean operator, for the class A of analytic functions f(z) in the open unit disk U which are normalized by f(0) = f ′(0) − 1 = 0, the generalization of an analytic function to discuss the starlikeness is considered. Furthermore, from the subordination criteria for Janowski functions generalized by some complex parameters, some interesting subordination criteria for f(z) ∈ A are given.

Differential Subordination Result with the Srivastava-Attiya Integral Operator

subordination and superordination properties for convolution operator

in present paper acertain convolution operator of analytic functions is defined.moreover, subordination- and superordination- preserving propertiesfor a class of analytic operators defined on the space of normalizedanalytic functions in the open unit disk is obtained. we also applythis to obtain sandwich results and generalizations of some knownresults.

Subordination and Superordination Results Associated with a Linear Operator

In the present paper, we derive some subordination and superordination results associated with a linear operator. Several sandwich-type results involving this operator are also proved. 2000 Mathematics Subject Classification: 30C45.