On a Certain Subclass of Analytic Functions Defined by Touchard Polynomials

Certain Subclass of Analytic and Multivalent Functions Defined by Using a Certain Fractional Derivative Operator

Making use of a certain operator of fractional derivative, a new subclass Fλ(n, p, α, μ) of analytic and p-valent functions with negative coefficients is introduced and studied here rather systematically. Coefficient estimates, a distortion theorem and radii of p-valently closeto-convexity, starlikeness and convexity are given. Finally several applications involving an integral operator and a c...

On Certain Subclass of Meromorphic Functions Defined by Convolution

For certain meromorphic p-valent functioun φ andψ, we study a class of functioun f (z) = 1 zp + ∑∞ n=p anz n, (an ≥ 0), defined in the punctured unit disc D, satisfying R ( (f∗φ)(z) (f∗ψ)(z) ) > α (0 ≤ α ≤ 1, z ∈ D) . Coeffiicient etimate disortion theorem and radii of starlikeness and convexity are obtained. Further we consider integral operators associated with functions belonging to the afor...

Certain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators

The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...

A Subclass of Analytic Functions Associated with Hypergeometric Functions

In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.

On Certain Subclasses of Analytic Functions Defined by Differential Subordination