Some Subclasses of Meromorphically Functions Associated with the Convolution Structure

Abstract

In this present paper we introduce and investigate each of the following new subclasses Fmp,λ,l,k(α;ϕ), Ĝmp,λ, l(α;ϕ) and Nmp,λ,l(α;ϕ) as well as Tmp,λ,l,k(α;ϕ), Ĝmp,λ, l(α;ϕ) and Ŕ̂mp,λ, l(α;ϕ) of meromorphic functions, which is defined by means of a certain meromorphically p-modified version of the convolution structure. Such results as inclusion relationships, integral representations and convolution properties for these function classes are proved.

Keywords

• meromorphically multivalent functions
• subordination
• hadamard product
• conjugate points
• symmetric points