Results 21 to 30 of about 10,947 (207)
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
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
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
Julia lines of general random Dirichlet series [PDF]
, 2012 summary:In this paper, we consider a random entire function $f(s,\omega )$ defined by a random Dirichlet series $\sum \nolimits _{n=1}^{\infty }X_n(\omega ) {\rm e} ^{-\lambda _n s}$ where $X_n$ are independent and complex valued variables, $0\leq ...
Jin, Qiyu, Deng, Guantie, Sun, Daochun
core +1 more source
On close-to-pseudoconvex Dirichlet series
Математичні СтудіїFor a Dirichlet series of form $F(s)=\exp\{s\lambda_1\}+\sum\nolimits_{k=2}^{+\infty}f_k\exp\{s\lambda_k\}$ absolutely convergent in the half-plane $\Pi_0=\{s\colon \mathop{\rm Re}s0$ for all $k\ge 2$.
O. M. Mulyava +2 more
doaj +1 more source
On the growth of a class of Dirichlet series absolutely convergent in half-plane
Karpatsʹkì Matematičnì Publìkacìï, 2017 In terms of generalized orders it is investigated a relation between the growth of a Dirichlet series $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ with the abscissa of asolute convergence $A\in (-\infty,+\infty)$ and the growth of Dirichlet ...
L.V. Kulyavetc', O.M. Mulyava
doaj +1 more source
Weil's converse theorem with poles [PDF]
, 2013 We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial Dirichlet characters to have arbitrary poles.We prove a generalization of the classical converse theorem of Weil, allowing the twists by non-trivial ...
Andrew R. Booker +4 more
core +1 more source
Universal approximation theorem for Dirichlet series
International Journal of Mathematics and Mathematical Sciences, 2006 The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex plane.
O. Demanze, A. Mouze
doaj +1 more source
Frechet spaces of general Dirichlet series [PDF]
, 2021 [EN] Inspired by a recent article on Frechet spaces of ordinary Dirichlet series Sigma a(n)n(-s) due to J. Bonet, we study topological and geometrical properties of certain scales of Frechet spaces of general Dirichlet spaces Sigma a(n)e(-lambda ns ...
Sevilla Peris, Pablo +4 more
core +1 more source
The Growth on the Maximum Modulus of Double Dirichlet Series
Journal of Function Spaces, 2019 The main purpose of this paper is to investigate the growth of several entire functions represented by double Dirichlet series of finite logarithmic order, h-order.
Yong-Qin Cui, Hong-Yan Xu, Na Li
doaj +1 more source