Results 11 to 20 of about 9,375 (294)

A Study of the Growth Results for the Hadamard Product of Several Dirichlet Series with Different Growth Indices

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, Guangsheng Chen, Hari Mohan Srivastava, Hong Li, Zuxing Xuan, Yongqin Cui   +5 more
doaj   +1 more source

Relative Gol’dberg Order and Type of Multiple Entire Dirichlet Series in Terms of Coefficients and Exponents

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
doaj   +1 more source

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, A. M. Gaisin, R. A. Gaisin   +2 more
doaj   +1 more source

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
doaj   +1 more source

Automatic Dirichlet Series

Journal of Number Theory, 2000
A sequence \(\{u_n\}_{n\geq 0}\) is \(d\)-automatic if its \(n\)-th term can be computed by a finite-state machine using the base \(d\) expansion of the integer \(n\). To such a sequence corresponds a sequence of \(t\)-dimensional vectors \(\{U_n\}_{n\geq 0}\), whose first components give the sequence \(\{u_n\}_{n\geq 0}\), and \(d\) matrices \(A_0,A_1,
Allouche, J.-P, Mendès France, M, Peyrière, J   +2 more
openaire   +2 more sources

On regular variation of entire Dirichlet series

Математичні Студії, 2023
Consider an entire (absolutely convergent in $\mathbb{C}$) Dirichlet series $F$ with the exponents $\lambda_n$, i.e., of the form $F(s)=\sum_{n=0}^\infty a_ne^{s\lambda_n}$, and, for all $\sigma\in\mathbb{R}$, put $\mu(\sigma,F)=\max\{|a_n|e^{\sigma ...
P. V. Filevych, O. B. Hrybel
doaj   +1 more source

Pseudostarlikeness and Pseudoconvexity of Multiple Dirichlet Series

Universal Journal of Mathematics and Applications, 2023
Let $p\in {\Bbb N}$, $s=(s_1,\ldots,s_p)\in {\Bbb C}^p$, $h=(h_1,\ldots,h_p)\in {\Bbb R}^p_+$, $(n)=(n_1,\ldots,n_p)\in {\Bbb N}^p$ and the sequences $\lambda_{(n)}=(\lambda^{(1)}_{n_1},\ldots,\lambda^{(p)}_{n_p})$ are such that $0<\lambda^{(j)}_1 ...
Myroslav Sheremeta
doaj   +1 more source

Pseudostarlike and pseudoconvex Dirichlet series of the order $\alpha$ and the type $\beta$

Математичні Студії, 2020
The concepts of the pseudostarlikeness of order $\alpha\in [0,\,1)$ and type $\beta\in (0,\,1]$ and the pseudoconvexity of order $\alpha$ and type $\beta$ are introduced for Dirichlet series with null abscissa of absolute convergence.
M.M. Sheremeta
doaj   +1 more source

Approximation by mean of the function given by dirichlet series by absolutely convergent Dirichlet series

Nonlinear Analysis, 1998
It is proved an uniform on compact sets approximation by mean of the general Dirichlet series.
A. Laurinčikas
doaj   +1 more source

Dirichlet series as interfering probability amplitudes for quantum measurements

New Journal of Physics, 2015
We show that all Dirichlet series, linear combinations of them and their analytical continuations represent probability amplitudes for measurements on time-dependent quantum systems.
C Feiler, W P Schleich
doaj   +1 more source