Some properties of certain multivalent analytic functions involving the Cho–Kwon–Srivastava operator

Bounded Nonlinear Functional Derived by the Generalized Srivastava-Owa Fractional Differential Operator

“…Recently, various results, such as convolution and inclusion properties, distortion theorem, extreme points, and coef-�cient estimates, are proposed by many authors for the operators due to Srivastava involving the Wright function, generalized hypergeometric function, and Meijer's -functions. ese operators are Dziok-Srivastava, Srivastava-Wright, Cho-Kwon-Srivastava operator, Cho-Saigo-Srivastava operator, Jung-Kim-Srivastava, and Srivastava-Owa operators (see [15][16][17][18][19][20][21][22][23][24]). �oing on in this generalization, we have �nally the Erdelyi-Kober operator of fractional integration with three parameters used in [25].…”

Subordination and superordination results for the family of Jung-Kim-Srivastava integral operators

“…Several subordination and superordination results involving this family of integral operators are also derived. For some other recent sandwich-type results in analytic function theory, one can find in [1,2,3,5,6,7,8,9,16,17,18,19,20,22] and the references cited therein.…”

Some Properties of Multivalent Functions Associated with a Certain Operator

“…In recent years, Aghalary [4], Patel [5], Patel et al [6], Sokl and Trojnar-Spelina [7], Zeng et al [8] and Wang et al [9] obtained many interesting results associated with the Cho -Kwon -Srivastava operator.…”

“…Let q 1 (z) and q 2 (z) be convex in U, q 1 (0) = q 2 (0) = 1 and q 2 (z) satisfies(9), andα ∈ C, Re α > 0. If f (z) ∈ Σ p such that L λ p,n (a, c + 1)f (z) L λ p,n (a, c)f (z)∈ H(q(0), 1) Q, andR(α, n, p, λ, a, c)is univalent in U and satisfiesq 1 (z) + αzq 1 (z) ≺ R(α, n, p, λ, a, c) ≺ q 2 (z) + αzq 2 (z),where R(α, n, p, λ, a, c) is given by (11), thenq 1 (z) ≺ L λ p,n (a, c + 1)f (z) L λ p,n (a, c)f (z) ≺ q 2 (z)and q 1 (z), q 2 (z) are the best subordinant and the best dominant, respectively.Remark.Combining Corollaries 1, 2, we obtain the corresponding sandwich results for the operators L λ p,n (a, c + 1)f (z) L λ p,n (a, c)f (z)…”