On Quasi-Analytic Functions

Quasi-analytic Vectors and Quasi-analytic Functions

Fekete-Szeg"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination

In this paper, we define new subclasses ${S}^{*}_{q}(alpha,Phi),$ ${M}_{q}(alpha,Phi)$ and ${L}_{q}(alpha,Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ and also determine the relevant connection to the classical Fekete--Szeg"o inequalities. Further, we discuss the improved ...

Quasi–convolution of Analytic Functions with Applications

In this paper we define a new concept of quasi-convolution for analytic functions normalized by f (0) = 0 and f ′(0) = 1 in the unit disk E = {z ∈ C: |z| < 1} . We apply this new approach to study the closure properties of a certain class of analytic and univalent functions under some families of (known and new) integral operators.

On Quasi-Hadamard Product of Certain Classes of Analytic Functions

The main purpose of this paper is to derive some quasi-Hadamard product properties for certain classes of analytic functions which are defined by means of the Salagean operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

Quasi - Hadamard product of certain classes of uniformly analytic functions

In this paper, we establish certain results concerning the quasiHadamard product of certain classes of uniformly analytic functions. 2000 Mathematics Subject Classification: 30C45.