The growth of the maximal term of Dirichlet series
Karpatsʹkì Matematičnì Publìkacìï, 2018 Let $\Lambda$ be the class of nonnegative sequences $(\lambda_n)$ increasing to $+\infty$, $A\in(-\infty,+\infty]$, $L_A$ be the class of continuous functions increasing to $+\infty$ on $[A_0,A)$, $(\lambda_n)\in\Lambda$, and $F(s)=\sum a_ne^{s\lambda_n}$
P.V. Filevych, O.B. Hrybel
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Morphological and Motor Ability Adaptations Following a Short-Term Moderate-Intensity Strength Training Intervention in a Sedentary Adult Male with Asymmetrical Bilateral Spastic Cerebral Palsy: A Case Study [PDF]
Journal of Functional Morphology and KinesiologyBackground: Cerebral palsy (CP) is a group of permanent disorders affecting movement, posture, and balance. Spasticity is the most common movement disorder in CP, and muscle weakness is its primary impairment.
Aleksandra Popović +6 more
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Wiman’s Type Inequality in Multiple-Circular Domain
Axioms, 2021 In the paper we prove for the first time an analogue of the Wiman inequality in the class of analytic functions f∈A0p(G) in an arbitrary complete Reinhard domain G⊂Cp, p∈N represented by the power series of the form f(z)=f(z1,⋯,zp)=∑‖n‖=0+∞anzn with the ...
Andriy Kuryliak, Oleh Skaskiv
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Karpatsʹkì Matematičnì Publìkacìï, 2021 For an entire function and an analytic in the unit disk function the growth of the Hadamard composition of their Gelfond-Leont'ev derivatives is investigated in terms of generalized orders.
O.M. Mulyava, M.M. Sheremeta
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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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Relationship between walking speed, respiratory muscle strength, and dynamic balance in community-dwelling older people who required long-term care or support and used a daycare center [PDF]
PeerJ, 2023 Background Focusing on the relationship between frail older people and gait speed is vital to minimize the need for long-term care or increased support.
Takumi Jiroumaru +5 more
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Wiman's type inequality for analytic and entire functions and $h$-measure of an exceptional sets
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $\mathcal{E}_R$ be the class of analytic functions $f$ represented by power series of the form $f(z)=\sum\limits\limits_{n=0}^{+\infty}a_n z^n$ with the radius of convergence $R:=R(f)\in(0;+\infty].$ For $r\in [0, R)$ we denote the maximum modulus by
O.B. Skaskiv, A.O. Kuryliak
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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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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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Stationary Schrödinger Equation and Darwin Term from Maximal Entropy Random Walk
Particles, 2023 We describe particles in a potential by a special diffusion process, the maximal entropy random walk (MERW) on a lattice. Since MERW originates in a variational problem, it shares the linear algebra of Hilbert spaces with quantum mechanics. The Born rule
Manfried Faber
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