Abstract
In this work, we obtain some conditions under which the quasi partial sums of the generalized Bernardi integral operator consisting of the harmonic univalent functions belongs to a similar class.
Highlights
F (z) = z + akzk k=2 which are analytic in the open unit disk U = {z ∈ C : |z| < 1}
In [1], Babalola defined a new concept of quasi-partial sums of the generalized Bernardi integral operator for analytic univalent functions and he extended an earlier result of Jahangiri and Farahmand [5]
Porwal and Dixit [8] studied the partial sums of Libera integral operator for harmonic univalent functions and some interesting results were obtained
Summary
Let A denote the class of analytic functions of the form: In [7], Opoola defined the class Tnα(β) to be a subclass of A consisting of analytic functions satisfying the condition Where we take the principal value for zα and Dn is the Salagean differential operator [10] defined as follows: D0f (z) = f (z), D1f (z) = Df (z) = zf (z), Dnf (z) = D Dn−1f (z) = z Dn−1f (z) .
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