Abstract
The object of this paper is to drive some properties for certain class of multivalent functions. Also we obtain some properties of an integral operator for functions in this class.
Highlights
Properties of the class Bp,q(n, α) In the reminder of this paper we assume that 0 ≤ α < δ(p, q), β, γ ≥ 0, p, n ∈ N, q ∈ N0 and p > q
Putting c = 0 in Theorem 3.3 we obtain: Corollary 3.4
Summary
For f ∈ Ap(n), with f (z) ≡ zp, let define the function ω by f (q)(z) zp−q δ(p, q) + [δ(p, q) − α]ω(z), z 1.1 we obtain that z0ω′(z0) = mω(z0), with m ≥ n ≥ 1, and letting ω(z0) = eiθ, θ ∈ [0, 2π), we have β f (q) (z0 ) z0p−q Putting β = 1/2 in Corollary 2.2 or β = γ ≥ 0 in Theorem 2.1 we obtain the result: Example 2.4.
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