EUDML

Let $A$ denote the class of analytic functions with the normalization $f (0) = f^{'} (0) - 1 = 0$ in the open unit disc $U = {z : |z| < 1}$ . Set $f_{λ}^{n} (z) = z + \sum_{k = 2}^{\infty} {[1 + λ (k - 1)]}^{n} z^{k} (n \in N_{0}; λ \geq 0; z \in U),$ and define $f_{λ, μ}^{n}$ in terms of the Hadamard product $f_{λ}^{n} (z) * f_{λ, μ}^{n} = \frac{z}{{(1 - z)}^{μ}} (μ > 0; z \in U) .$ In this paper, we introduce several subclasses of analytic functions defined by means of the operator $I_{λ, μ}^{n} : A ⟶ A$ , given by $I_{λ, μ}^{n} f (z) = f_{λ, μ}^{n} (z) * f (z) (f \in A; n \in N_{0;} λ \geq 0; μ > 0) .$ Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

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On Sandwich Theorem of Analytic Functions Involving Integral Operator

Certain subclasses of analytic functions defined by a family of linear operators

Certain bounded functions of complex order

Properties of some families of meromorphic multivalent functions associated with generalized hypergeometric functions

The quasi-Hadamard products of uniformly convex functions defined by Dziok-Srivastava operator

Certain subclasses of uniformly starlike and convex functions defined by convolution with negative coefficients

Inclusion properties of certain subclasses of analytic functions defined by generalized Salagean operator