Results 61 to 70 of about 10,947 (207)

Dirichlet Series with Trigonometric Coefficients

, 2021
See the abstract in the attached pdf.
openaire   +2 more sources

Distributions of Functionals of the two Parameter Poisson-Dirichlet Process [PDF]

The present paper provides exact expressions for the probability distribution of linear functionals of the two–parameter Poisson–Dirichlet process. Distributional results that follow from the application of an inversion formula for a (generalized) Cauchy–
Antonio Lijoi, Lancelot F. James, Igor Prünster   +2 more
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Perturbed Dirichlet Series and the Difference Operator

Axioms
The most well-known perturbed Dirichlet series is the Hurwitz zeta-function. Its analytic continuation via the binomial expansion has been studied extensively, beginning with Wilton’s work.
Nianlian Wang, Jay Mehta, Shigeru Kanemitsu   +2 more
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Sampling the Dirichlet Mixture Model with Slices [PDF]

We provide a new approach to the sampling of the well known mixture of Dirichlet process model. Recent attention has focused on retention of the random distribution function in the model, but sampling algorithms have then suffered from the countably ...
Stephen G. Walker
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On the Abscissa of Convergence of Laplace–Stieltjes Integrals in the Euclidean Real Vector Space ${\mathbb{R}}^p$

Axioms
New estimates for the convergence abscissas of the multiple Laplace–Stieltjes integral are obtained. There is described the relationship between the integrand function, the Lebesgue–Stieltjes measure, and the abscissa of convergence of the multiple ...
Andriy Bandura, Oleh Skaskiv, Olha Zadorozhna   +2 more
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Modeling and visualizing uncertainty in gene expression clusters using Dirichlet process mixtures [PDF]

, 2009
Although the use of clustering methods has rapidly become one of the standard computational approaches in the literature of microarray gene expression data, little attention has been paid to uncertainty in the results obtained. Dirichlet process mixture (
Rasmussen, C.E., Rasmussen, Carl Edward, Wild, David L., Wild, D.L., Ghahramani, Zoubin, de la Cruz, B.J., Ghahramani, Z., Rasmussen, C., De la Cruz, Bernard J., de la Cruz , B., Wild, D.   +10 more
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Generalized types of the growth of Dirichlet series

Karpatsʹkì Matematičnì Publìkacìï, 2015
Let $A\in(-\infty,+\infty]$ and $\Phi$ be a continuously on $[\sigma_0,A)$ function such that $\Phi(\sigma)\to+\infty$ as $\sigma\to A-0$. We establish a necessary and sufficient condition on a nonnegative sequence $\lambda=(\lambda_n)$, increasing to $+\
T.Ya. Hlova, P.V. Filevych
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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.
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On Recovering Sturm--Liouville-Type Operator with Delay and Jump Conditions [PDF]

Sahand Communications in Mathematical Analysis
In this manuscript, the second order differential operators with constant delay and transmission boundary conditions are studied. The asymptotic forms of the characteristic functions and eigenvalues  of the operators are obtained.
Mohammad Shahriari, Vladimir Vladicic
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Boundary behaviour of Dirichlet series with applications to universal series

, 2016
This paper establishes connections between the boundary behaviour of functions representable as absolutely convergent Dirichlet series in a half-plane and the convergence properties of partial sums of the Dirichlet series on the boundary.
Gardiner, Stephen J., Manolaki, Myrto
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