Results 1 to 10 of about 9,151 (298)
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
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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
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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 ...
Carlos A. Berenstein, Daniele C. Struppa
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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
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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
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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
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Mathematics, 2022 In this paper, our first purpose is to describe a class of phenomena involving the growth in the Hadamard–Kong product of several Dirichlet series with different growth indices.
Hongyan Xu +5 more
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Journal of New Theory, 2021 This paper aims to define and characterize the relative Gol'dberg order and type of a multiple entire Dirichlet series with respect to another multiple entire Dirichlet series in terms of their coefficients and exponents.
Monalisa Middya
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REGULAR GROWTH OF DIRICHLET SERIES OF THE CLASS 𝐷(Φ) ON CURVES OF BOUNDED 𝐾-SLOPE
Проблемы анализа, 2023 We study the asymptotic behavior of the sum of en- tire Dirichlet series with positive exponents on curves of a bounded slope going in a certain way to infinity.
N. N. Aitkuzhina +2 more
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Note to the behavior of the maximal term of Dirichlet series absolutely convergent in half-plane
Математичні Студії, 2021 By $S_0(\Lambda)$ denote a class of Dirichlet series $F(s)=\sum_{n=0}^{\infty}a_n\exp\{s\lambda_n\} (s=\sigma+it)$ with an increasing to $+\infty$ sequence $\Lambda=(\lambda_n)$ of exponents ($\lambda_0=0$) and the abscissa of absolute convergence ...
M.M. Sheremeta
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