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General asynchronously coupled consensus algorithm associated with adjacent compensations, is proposed to solve the dynamical consensus problem of second-order multiagent network with communication delay under leader-following coordination control framework. Based on frequency-domain analysis, firstly, delay-independent consensus convergence is proved for the second-order multiagent systems with a spanning tree topology that has the leader root and then delay-dependent consensus condition is obtained for the multiagent systems with communication delay under a general leader-following interconnection topology. Simulation illustrates the correctness of the results. [ABSTRACT FROM AUTHOR]

By using the method of differential subordinations, we derive some properties of multivalent analytic functions. All results presented here are sharp. [ABSTRACT FROM AUTHOR]

Two new subclasses Hp,k(λ,A,B) and Qp,k(λ,A,B) of multivalent analytic functions are introduced. Distortion inequalities and inclusion relation for Hp,k(λ,A,B) and Qp,k(λ,A,B) are obtained. Some results of the partial sums of functions in these classes are also given. [ABSTRACT FROM AUTHOR]

Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses Fp,n(a, c, λ, A, B) and Gp,n(a, c, λ, A, B) of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products, integral transforms, and the partial sums of functions belonging to these classes are studied. [ABSTRACT FROM AUTHOR]

Let P be the class of functions p(z) of the form ... which are analytic in the open unit disk ... . The object of the present paper is to derive certain argument inequalities of analytic functions p(z) in P. [ABSTRACT FROM AUTHOR]

Let Tn(A, B, γ, α) (-1 ≤ B < 1, B < A, 0 < γ ≤ 1 and α > 0) denote the class of functions of the form f(z) = z + ∑Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed.akzk (n ∈ N = {1, 2, 3,…}), which are analytic in the open unit disk U and satisfy the following subordination condition f'(z) + αzf" (z) < ((1 + Az)/(1 + Bz))γ, for (z ∈ U;A ≤ 1; 0 < γ < 1), (1 + Az)/(1 + Bz), for (z ∈ U; γ = 1). We obtain sharp bounds on Ref' (z), Ref(z)/z, |f(z)|, and coefficient estimates for functions f(z) belonging to the class Tn(A, B, γ, α). Conditions for univalency and starlikeness, convolution properties, and the radius of convexity are also considered. [ABSTRACT FROM AUTHOR]

By making use of the Dziok-Srivastava operator, we introduce a new class of meromorphically multivalent functions. Some inclusion properties of functions belonging to this class are derived. [ABSTRACT FROM AUTHOR]