Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series [PDF]
In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series.
Sanjib Kumar Datta +2 more
doaj
Joint weighted limit theorems for general dirichlet series
In the paper,two joint weighted limit theorems in the sense of weak convergence of probability measures on the complex plane for general Dirichlet series are obtained.
Jonas Genys, Antanas Laurinčikas
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Growth estimates for the maximal term and central exponent of the derivative of a Dirichlet series
Let $A\in(-\infty,+\infty]$, $\Phi:[a,A)\to\mathbb{R}$ be a continuous function such that $x\sigma-\Phi(\sigma)\to-\infty$ as $\sigma\uparrow A$ for every $x\in\mathbb{R}$, $\widetilde{\Phi}(x)=\max\{x\sigma -\Phi(\sigma):\sigma\in [a,A)\}$ be the Young ...
S.I. Fedynyak, P.V. Filevych
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Modeling and Improving Geometric Accuracy in Projection Multiphoton Lithography
A numerical framework describing the optical and photochemical processes is developed to elucidate the origins of geometric deviations in projection multiphoton lithography. The results indicate that oxygen diffusion and inhibition, and DMD diffraction, lead to geometric distortions.
Anwarul Islam Akash +2 more
wiley +1 more source
ABSTRACT This paper examines the determinants of generative AI (GenAI) knowledge and usage among agricultural extension professionals. Drawing on survey data from agricultural extension personnel in Tennessee, we employ regression analyses and latent Dirichlet allocation (LDA) for topic modeling of open‐ended responses to study the knowledge and usage ...
Abdelaziz Lawani +3 more
wiley +1 more source
A Dual‐Ion Multiphysics Model for Smart and Sustainable Sensors Based on Bacterial Cellulose
Bacterial cellulose (BC), functionalized with ionic liquids (ILs) and conductive polymers, offers promise for sustainable sensor applications. To enable real‐world integration, this work presents the first dual‐carrier, multiphysics white‐box model of mechanoelectric transduction in BC–IL sensors, combining mechanical deformation and ion transport ...
Francesca Sapuppo +7 more
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Iteration of Composition Operators on small Bergman spaces of Dirichlet series
The Hilbert spaces ℋw consisiting of Dirichlet series F(s)=∑n=1∞ann-s$F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}{n^{ - s}}}$ that satisfty ∑n=1∞|an|2/wn 0 and {wn}n having average order (logj+n)α${(\log _j^ + n)^\alpha }$, that the composition operators ...
Zhao Jing
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On Dirichlet series similar to Hadamard compositions in half-plane
Let $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\},$ $j=\overline{1,p},$ be Dirichlet series with exponents $0\le\lambda_n\uparrow+\infty,$ $n\to\infty,$ and the abscissas of ...
A.I. Bandura +2 more
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Bayesian clustering of multivariate extremes
Abstract The asymptotic dependence structure between multivariate extreme values is fully characterized by their projections on the unit simplex. Under mild conditions, the only constraint on the resulting distributions is that their marginal means must be equal, which results in a nonparametric model that can be difficult to use in applications ...
Sonia Alouini, Anthony C. Davison
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