Results 21 to 30 of about 114,475 (241)
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
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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
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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
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Nonlinear Analysis, 1998 It is proved an uniform on compact sets approximation by mean of the general Dirichlet series.
A. Laurinčikas
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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
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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
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On joint universality for general Dirichlet series
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Jonas Genys
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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
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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
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An Elliptic Analogue Of Generalized Cotangent Dirichlet Series And Its Transformation Formulae At Some Integer Arguments [PDF]
, 2011 B.C. Berndt evaluated special values of the cotangent Dirichlet series. T. Arakawa studied a generalization of the series, or generalized cotangent Dirichlet series, and gave its transformation formulae.
Machide, T.
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