Some subclasses of meromorphically multivalent functions associated with the generalized hypergeometric function

In the present paper, we introduce and investigate each of the following new subclasses: Fp,kq,s(α;α1;ϕ),Gpq,s(α;α1;ϕ)andHpq,s(α;α1;ϕ) as well as Fp,kq,s(α;α1;ϕ),Gpq,s(α;α1;ϕ)andHpq,s(α;α1;ϕ) of meromorphically pp-valent functions, which is defined by means of a certain meromorphically pp-modified version of the familiar Dziok–Srivastava linear operator involving the generalized hypergeometric function. Such results as inclusion relationships, integral representations and convolution properties for these function classes are proved. The results presented here provide extensions of those given in some earlier works. Several other new results are also obtained.