Abstract
In this paper, we introduce and investigate certain subclasses of meromorphically starlike functions. Such results as coefficient inequalities, neighborhoods, partial sums, and inclusion relationships are derived. Relevant connections of the results derived here with those in earlier works are also pointed out. MSC:30C45, 30C80.
Highlights
Let denote the class of functions f of the form f (z) = + z ∞ ak zk, ( . ) k=which are analytic in the punctured open unit diskU∗ := z : z ∈ C and < |z| < =: U \ { }.A function f ∈ is said to be in the class MS∗(α) of meromorphically starlike functions of order α if it satisfies the inequality zf (z) < –α (z ∈ U; α < ). f (z)
Let P denote the class of functions p given by p(z) = + pkzk (z ∈ U), ( . )
Wang et al [ ] had proved that if f ∈ H(β, λ), f ∈ MS∗(λ), which implies that the class H(β, λ) is a subclass of the class MS∗(λ) of meromorphically starlike functions of order λ
Summary
1 Introduction Let denote the class of functions f of the form Let P denote the class of functions p given by p(z) = + pkzk (z ∈ U), A function f ∈ is said to be in the class H(β, λ) if it satisfies the condition zf (z) z f (z) +β
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