Results 61 to 70 of about 114,475 (241)

Beta-Product Poisson-Dirichlet Processes [PDF]

, 2011
Time series data may exhibit clustering over time and, in a multiple time series context, the clustering behavior may differ across the series. This paper is motivated by the Bayesian non--parametric modeling of the dependence between the clustering ...
Bassetti, Federico, Casarin, Roberto, Leisen, Fabrizio   +2 more
core   +3 more sources

On Joint Distribution of General Dirichlet Series

Nonlinear Analysis, 2003
In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].
J. Genys, A. Laurinčikas
doaj   +1 more source

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Dirichlet Series and Convolution Equations

Publications of the Research Institute for Mathematical Sciences, 1988
There are two main methods to study analytic continuation properties of Dirichlet series \[ f(s)=\sum_{n\geq 1}a_ ne^{\lambda_ ns}\quad with\quad finite\quad density, \] i.e., \(n/\lambda_ n=0(1)\). One is due to Hadamard and consists of the use of entire functions \(\gamma\) that interpolate the values \(a_ n\) at the points \(z=\lambda_ n\) (cf ...
Berenstein, C. A., Struppa, Daniele C.
openaire   +2 more sources

On the transfinite density of sequences and its applications to Dirichlet series

Математичні Студії
For an increasing to $\infty$ sequence $(\lambda_n)$ of positive numbers let $\displaystyle n(t)=\sum\limits_{\lambda_n\le t}1,\ N(x)=\int\nolimits_{0}^{x}\dfrac{n(t)}{t}dt, \ L_k(t)=\sum\limits_{\lambda_n\le t}\prod\limits_{j=0}^{k-1}\dfrac{1}{\ln_j ...
M. M. Sheremeta
doaj   +1 more source

Functional equation of a special Dirichlet series

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we study the special Dirichlet series L(s)=23∑n=1∞sin(2πn3)n−s,  s∈C This series converges uniformly in the half-plane Re(s)>1 and thus represents a holomorphic function there.
Ibrahim A. Abou-Tair
doaj   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

The growth of the maximal term of Dirichlet series

Karpatsʹkì Matematičnì Publìkacìï, 2018
Let $\Lambda$ be the class of nonnegative sequences $(\lambda_n)$ increasing to $+\infty$, $A\in(-\infty,+\infty]$, $L_A$ be the class of continuous functions increasing to $+\infty$ on $[A_0,A)$, $(\lambda_n)\in\Lambda$, and $F(s)=\sum a_ne^{s\lambda_n}$
P.V. Filevych, O.B. Hrybel
doaj   +1 more source

Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh, Claudia Panico, Messoud Efendiyev   +2 more
wiley   +1 more source