A Certain Subclass of Analytic Functions with Bounded Positive Real Part

A Certain Subclass of Analytic Functions with Bounded Positive Real Part

  , T For real numbers  and  such that 0 1      , we denote by   the class of normalized analytic functions which satisfy     Re f z     z   , T   , where denotes the open unit disk. We find some relationships involving functions in the class      . And we estimate the bounds of coefficients and solve Fekete-Szegö problem for functions in this class. Furthermore, we...

Some properties of analytic functions related with bounded positive real part

In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.

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 a Bounded Subclass of Certain Analytic Functions Satisfying a Differential Inequality

In the present paper, using Jack’s lemma, the authors investigate the differential inequality ∣∣∣(1 − α) Ip(n,λ)f (z) zp + α Ip(n + 1, λ)f (z) Ip(n,λ)f (z) − 1 ∣∣∣ < μ, z ∈ E regarding multivalent functions defined by multiplier transfomation in the open unit disk E = {z : |z| < 1} . As consequences, sufficient conditions for univalence, starlikeness and strongly starlikeness of certain analyti...

On Certain Subclass of Analytic Functions with Fixed Point