On a Bounded Subclass of Certain Analytic Functions Satisfying a Differential Inequality
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چکیده
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 analytic functions are obtained.
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تاریخ انتشار 2008