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.
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