Abstract
In the present paper, we obtain certain su¢ cient conditions for meromorphic p-valent functions. Several corollaries and consequences of the main results are also considered.
Highlights
We denote by Σkp(δ) the class of all meromorphically p-valent convex of order δ
For some δ(0 ≤ δ < p).We denote by Σcp(δ) the subclass of Σp consisting of functions which are meromorphically p-valent close-to-convex of order δ in U∗
The object in the present paper is to obtain some sufficient conditions for meromorphic p-valent functions
Summary
A function f (z) belonging to Σp is said to be meromorphically p-valent close-to-convex of order δ if it satisfies For some δ(0 ≤ δ < p).We denote by Σcp(δ) the subclass of Σp consisting of functions which are meromorphically p-valent close-to-convex of order δ in U∗. Note that Σ∗1(δ) = Σ∗(δ), Σk1 (δ) = Σk(δ) and Σc1(δ) = Σc(δ), where Σ∗(δ), Σk(δ) and Σc(δ) are subclasses of Σ1 consisting meromorphic univalent functions which are respectively, starlike, convex and close-to-convex of order δ(0 ≤ δ < 1).
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