Results 1 to 10 of about 9,269 (188)
Direct numerical solutions of the SIR and SEIR models via the Dirichlet series approach [PDF]
PLoS ONE, 2023 Compartment models are implemented to understand the dynamic of a system. To analyze the models, a numerical tool is required. This manuscript presents an alternative numerical tool for the SIR and SEIR models.
Kiattisak Prathom, Asama Jampeepan
doaj +3 more sources
On an entire function represented by multiple Dirichlet series [PDF]
Mathematica Bohemica, 2021 Consider the space $L$ of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable.
Lakshika Chutani
doaj +2 more sources
Dirichlet approximation and universal Dirichlet series [PDF]
Proceedings of the American Mathematical Society, 2016 We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and {to} the chordal one as well, analogous to classical results of Runge, Mergelyan and Vitushkin. We also strengthen the notion of universal Dirichlet series.
Richard M. Aron +4 more
openalex +5 more sources
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 ...
Carlos A. Berenstein, Daniele C. Struppa
openalex +4 more sources
Discrete universality of absolutely convergent Dirichlet series
Mathematical Modelling and Analysis, 2022 In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained.
Mindaugas Jasas +3 more
doaj +3 more sources
Wiman type inequalities for entire Dirichlet series with arbitrary exponents [PDF]
Математичні Студії, 2013 We prove analogues ofthe classical Wiman inequality for entire Dirichlet series$f(z)=sum_{n=0}^{+infty}a_ne^{zlambda_n}$ with arbitrary positiveexponents $(lambda_n)$ such that$sup{lambda_ncolon ngeq 0 }=+infty$.
A. O. Kuryliak +2 more
doaj +2 more sources
Limit theorems for random Dirichlet series: boundary case [PDF]
Modern Stochastics: Theory and ApplicationsBuraczewski et al. (2023) proved a functional limit theorem (FLT) and a law of the iterated logarithm (LIL) for a random Dirichlet series ${\textstyle\sum _{k\ge 2}}\frac{{(\log k)^{\alpha }}}{{k^{1/2+s}}}{\eta _{k}}$ as $s\to 0+$, where $\alpha \gt -1/2$
Alexander Iksanov, Ruslan Kostohryz
doaj +2 more sources
STABILITY-PRESERVING PERTURBATION OF THE MAXIMAL TERMS OF DIRICHLET SERIES
Проблемы анализа, 2022 We study stability of the maximal term of the Dirichlet series with positive exponents, the sum of which is an entire function. This problem is of interest, because the Leont’ev formulas for coefficients calculated using a biorthogonal system of ...
A. M. Gaisin, N. N. Aitkuzhina
doaj +1 more source
Dirichlet series and series with Stirling numbers
Cubo, 2023 This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers ...
Khristo Boyadzhiev
doaj +1 more source
Coefficient multipliers on spaces of vector-valued entire Dirichlet series [PDF]
Mathematica Bohemica, 2017 The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties ...
Sharma Akanksha, Girja S. Srivastava
doaj +1 more source