A Linear Operator and Associated Families of Meromorphically Multivalent Functions

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Subordination and Superordination of the Liu-Srivastava Linear Operator on Meromorphic Functions (2008, background): “Special cases of the Liu-Srivastava linear operator include the meromorphic analogue of the Carlson-Shaffer linear operator Lp(a, c) := H p (1, a; c) (studied among others by Liu and Srivastava [13], Liu [14], and Yang [23]), the operator D := Lp(n+p, 1), which is analogous to the Ruscheweyh derivat”
Third-Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu-Srivastava Operator (2014, background): “(19) We note that, for λ = μ = 0, the operator H p,q,s (α 1 ) reduces to the Liu-Srivastava operator H p,q,s (α 1 ) (see [5, 6]; see also [7]), while the Liu-Srivastava operator is the meromorphic analogous of the Dziok-Srivastava operator (see [8–10]; see also [11, 12]), which includes (as its spec”
Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators (2004, background): “A further special case of the Choi–Saigo–Srivastava oper Iλ1 (µ + 2,1) was considered earlier by Noor et al. [14,16] and Liu [8].”