This paper is concerned mainly with the linear operators I f γ,α and J f γ,α of analytic function .The norm of I f γ,α and J f γ,α on some analytic function spaces is computed in this paper. We study the relation between I f γ,α and J f γ,α operators, the spaces and spaces (0 < < ∞).
Many papers concern both the starlikeness and the convexity of Bernardi integral operator. Using the Nunokawa’s Lemma, we want to determine conditions for the strong starlikeness of the Bernardi transform of normalized analytic functions g, such that |arg{g′(z)}| <απ2 in the open unit disk Δ where 0<α<2. Our results include the results of Mocanu, Nunokawa and others on the Libera transform.
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