The main purpose of the present paper is to derive such results as inclusion relationships and convolution properties for certain new subclasses of multivalent analytic functions involving the Dziok-Srivastava operator. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.

Using the linear operator Iλ, μ (λ > −1, μ > 0), we introduce and study a new class Q(λ, μ, α, φ) of analytic functions. We derive inclusion relationship and integral representation. We also show that this class is closed under convolution with a convex function. Some applications of this theorem are also discussed. 2000 Mathematics Subject Classification: 30C45, 30C50.

In this paper, we will discuss some generalized sub-classes of analytic function related with close-to-convex functions in conic domains by using \(q\) -calculus. We investigate important properties such as necessary and sufficient conditions, coefficient estimates, convolution results, linear combination, weighted mean, arithmetic radii star likeness growth distortion for these classes. It is ...

In this paper, we study the new subclasses of analytic functions in the unit disk E by using Carlson Shaffer operator and generalized Janowski functions. These new analytic classes relates with the concept of functions of bounded radius rotation and bounded Mocanu variation. Inclusion results and convolution invariant property are investigated.

The aim of this paper is to establish the coefficient bounds for certain classes of analytic functions associated with q-difference operator. Certain applications of these results for the functions defined through convolution are also obtained. 2010 Mathematics Subject Classifications: Primary 30C45; Secondary 30C50

We study stochastic perturbed Volterra equations of convolution type in an infinite dimensional case. Our interest is directed towards the existence and regularity of stochastic convolutions connected to the equations considered under some kind of perturbations. We use an operator theoretical method for the representation of solutions.