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三亚国际数学论坛：Complex Time Series Modelling and Forecasting
三亚国际数学论坛 Complex Time Series Modelling Forecasting
2017/11/24
The purpose of this workshop is to bring together the leading experts, active scholars and young researchers in Dynamic Network, Spatio-Temporal Processes, and Functional Time Series under the umbrell...
We consider the set C of pairs of real numbers (x, y), or equivalently of points on the plane R2. Two vectors z1 = (x1, x2) and z2 = (x2, y2) are equal if and only if x1 = x2 and y1 = y2. Two vectors ...
Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we st...
Properties of harmonic meromorphic functions which are starlike of complex order with respect to conjugate points
harmonic meromorphic
2010/11/1
This paper defines and investigates a class of meromorphic univalent harmonic functions that are starlike of complex order with respect to conjugate points. The authors obtain convolution and convex c...
Propagation of CR extendibility at the vertex of a complex sector
CR extendibility complex sector
2010/11/23
We study propagation of CR extendibility at the vertex $p$ of an analytic sector $A$ contained in a CR manifold $M$. Let $k$ be the weighted vanishing order of $M$ and $\alpha $ the complex angle of $...
On the structure and probabilistic interpretation of Askey-Wilson densities and polynomials with complex parameters
Askey-Wilson densities polynomials complex parameters
2010/11/11
We give equivalent forms of Askey-Wilson (AW) polynomials expressing them with a help of Al-Salam-Chihara polynomials. After restricting parameters of AW polynomials to complex conjugate pairs we giv...
We introduce several notions of `random fewnomials', i.e. random polynomials with a fixed number f of monomials of degree N. The f exponents are chosen at random and then the coefficients are chosen ...
Complex-Time Singularity and Locality Estimates for Quantum Lattice Systems
Complex-Time Singularity Locality Estimates Quantum Lattice Systems
2010/11/15
We present and prove a well-known locality bound for the complex-time dynamics of a general class of one-dimensional quantum spin systems. Then we discuss how one might hope to extend this same proce...
Let H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that a...
A Coefficient Inequality For Certain Classes Of Analytic Functions Of Complex Order
Starlike functions of complex order Convex functions of complex order Subordination Fekete-Szegö inequality
2008/7/3
A Coefficient Inequality For Certain Classes Of Analytic Functions Of Complex Order.
Approximation of Entire Functions of Two Complex Variables in Banach Spaces
Entire function Order type Approximation Error
2008/7/2
In the present paper, we study the polynomial approximation of entire functions of two complex variables in Banach spaces. The characterizations of order and type of entire functions of two complex va...
Inclusion and Neighborhood Properties of Certain Subclasses of Analytic and Multivalent Functions of Complex Order
Analytic functions $p$-valent functions Coefficient bounds Multiplier transformations Neighborhood of analytic functions Inclusion relations
2008/7/1
In the present paper, the authors prove several inclusion relations associated with the -neighborhoods of certain subclasses of -valently analytic functions of complex order, which are introduced here...
Inequalities in the Complex Plane
Differential subordination Extreme point Locally convex linear topological space Convex functional
2008/7/1
A differential inequality is generalised and improved. Several other differential inequalities are considered.
Newton's Inequalities for Families of Complex Numbers
Elementary symmetric functions Newton's inequalities Nonnegative matrices
2008/6/30
Newton's Inequalities for Families of Complex Numbers.
Neighborhoods of Certain Classes of Analytic Functions of Complex Order
Analytic functions Ruscheweyh derivatives Starlike functions Convex functions $delta$-neighborhood Inclusion relations
2008/6/30
Neighborhoods of Certain Classes of Analytic Functions of Complex Order.