On Some Interesting Classes of Analytic Functions Related to Univalent Functions

Authors:

Open Access

Let

\bar{A}

be the new general class of functions

f (z)

of the form

f (z) = z + \sum_{k = 1}^{\infty} a_{1 + \frac{k}{2}} z^{1 + \frac{k}{2}}

that are analytic in the open unit disc

U .

In the present paper, for

f (z) \in \bar{A},

we consider classes

\bar{S^{*}} (α),

\bar{C} (α)

and

\bar{R} (α)

and obtain some interesting properties of

f (z) \in \bar{A}

concerning

\bar{S^{*}} (α),

\bar{C} (α)

and

\bar{R} (α)

, applying subordinations of

f (z) .

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