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.

In Culicover and Jackendoš (1997), the leŸ-subordinating and-construction is cited as one example of a literal mismatch between syntax and semantics because it seems to exhibit syntactic properties of coordinate structures and semantic properties of subordinate structures at the same time. Hence, as they conclude, this construction cannot be derived by frameworks such asMinimalismwhere the sema...

For analytic functions f (z) in the open unit disk E and convex functions g(z) in E, has proved one theorem which is a generalization of the result by K. Sakaguchi [K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959) 72–75]. The object of the present paper is to generalize the theorem due to Pommerenke.

An example of non-Markovian quantum dynamics is considered in the framework a geometrical (topological) subordination approach. The specific property model that it coincides exactly with fractional diffusion equation, which describes geometric Brownian motion on combs. Both classical and are described using dilatation operator xddx. Two examples subordinators considered. first one Gaussian func...

A new class of analytic functions of complex order is defined using a generalized differential operator. Coefficient inequalities, sufficient condition and an interesting subordination result are obtained.