SOME SUBCLASSES OF MEROMORPHICALLY MULTIVALENT FUNCTIONS ASSOCIATED WITH THE GENERALIZED MULTIPLIER TRANSFORMATIONS

Abstract

In this present paper, we introduce and investigate each of the following new subclasses [Formula: see text] and hp(λ, ℓ;φ) as well as [Formula: see text] and [Formula: see text] of meromorphically p-valent functions, which is defined by means of a certain meromorphically p-modified version of the multiplier transformation. Such results as inclusion relationships, integral representations and convolution properties for these function classes are proved.