Abstract
In this paper, we investigate interesting properties and sufficient conditions for meromorphic starlike functions in the punctured unit disc.
Highlights
Noor [9] and when p = 0, q = 2, s = 1, α1 = λ, α2 = 1, β1 = (n + 1), the operator Iμp(α1, β1)f (z) is reduced to an operator recently introduced by S. -M
By using the operator Iμp(α1, β1)f (z), we studies some properties of meromorphic starlike functions
By making use of the identity (1.7), we deduce that μ (Iμp−1(α1, β1)f (z)) (Iμp(α1, β1)f (z))
Summary
By using the operator Iμp(α1, β1)f (z), we studies some properties of meromorphic starlike functions. Fμ,p(z) k+μ+1 μ p zk, p ∈ N0, μ = 0 and let Fμ−,p1(z) be defined k=0 such that Iμp(α1, ...αq, β1, ...βs)f (z) = Fμ−,p1(z) ∗ f (z).
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