Results 41 to 50 of about 4,047,455 (275)
Hardy spaces of general Dirichlet series — a survey [PDF]
Banach Center Publications, 2019 The main purpose of this article is to survey on some key elements of a recent $\mathcal{H}_p$-theory of general Dirichlet series $\sum a_n e^{-\lambda_{n}s}$, which was mainly inspired by the work of Bayart and Helson on ordinary Dirichlet series $\sum ...
A. Defant, I. Schoolmann
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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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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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A note on abscissas of Dirichlet series [PDF]
RACSAM, 2018 We present an abstract approach to the abscissas of convergence of vector-valued Dirichlet series. As a consequence we deduce that the abscissas for Hardy spaces of Dirichlet series are all equal.
A. Defant, A. Pérez, P. Sevilla-Peris
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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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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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Growth estimates for the maximal term and central exponent of the derivative of a Dirichlet series
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $A\in(-\infty,+\infty]$, $\Phi:[a,A)\to\mathbb{R}$ be a continuous function such that $x\sigma-\Phi(\sigma)\to-\infty$ as $\sigma\uparrow A$ for every $x\in\mathbb{R}$, $\widetilde{\Phi}(x)=\max\{x\sigma -\Phi(\sigma):\sigma\in [a,A)\}$ be the Young ...
S.I. Fedynyak, P.V. Filevych
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Advanced Engineering Materials, EarlyView.Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati +11 more
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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
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Advanced Materials, EarlyView.Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia +3 more
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