By making use of subordination between analytic functions and the Dziok-Srivastava operator, we introduce a new subclass of multivalent analytic functions. Such results as inclusion relationship, integral presentations and convolution properties for this function class are proved.

The object of the present paper is to introduce and study a new class of multivalent analytic functions associated with an integral operator Qαβ which was investigated recently by Jung, Kim and Srivastava [J.Math.Anal.Appl. 176(1993), 138-147].

Suppose that m,n ∈ N and that A : R → R is a linear operator. It is shown here that if k, r ∈ N satisfy k < r 6 rank(A) then there exists a subset σ ⊆ {1, . . . ,m} with |σ| = k such that the restriction of A to R ⊆ R is invertible, and moreover the operator norm of the inverse A−1 : A(R) → R is at most a constant multiple of the quantity √ mr/((r − k) ∑m i=r si(A) 2), where s1(A) > . . . > sm(...

Keywords: Meromorphic functions Multivalent functions Dziok–Srivastava linear operator Hadamard product (or convolution) Subordination between analytic functions Generalized hypergeometric function Symmetric points Conjugate points Symmetric conjugate points a b s t r a c t In the present paper, we introduce and investigate each of the following new subclasses: of meromorphically p-valent funct...

The operator Jm p (λ, )f (z) was studied by Srivastava et al. [3] and Aouf et al. [4]. From (1.2) and (1.3), we observe that J−m p (λ, )f (z) = Im p (λ, )f (z)(m > 0), so the operator Jm p (λ, )f (z) is well-defined for l ≥ 0, l ≥ 0, p Î N and m Î Z = {..., -2, -1,0,1,2,...}. El-Ashwah Journal of Inequalities and Applications 2012, 2012:35 http://www.journalofinequalitiesandapplications.com/con...