Results 51 to 60 of about 13,105,337 (339)
Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian) [PDF]
Математичні Студії, 2013 Exact-order estimates for the approximations of functions ofclasses $S^{Omega}_{p,{heta}}B(mathbb{R}^d)$ by entirefunctions with the spectrum of a special form in the space$L_q(mathbb{R}^d)$ for some relations between the parameters$p$ and $q$, are ...
V. V. Myroniuk, S. Ya. Yanchenko
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An Entire Holomorphic Function Associated to an Entire Harmonic Function
Journal of Approximation Theory, 1999 Given a harmonic function \(h\) on \(\mathbb{R}^N\), \(N\geq 2\), \((h\in {\mathcal H}_N)\) there is a unique holomorphic function \(f\) on \(\mathbb{C}\), \((f\in{\mathcal E})\) such that \(f(t)=h(t,0,\dots,0)\) for \(t\in\mathbb{R}\). This paper has two purposes. Firstly to obtain theorems on the connection between the growth rates of \(h\) and \(f\)
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On random entire functions [PDF]
Applicationes Mathematicae, 1969 Let \(f(z)= \sum ^\infty_{n=0}a_nz^n\) be an arbitrary entire function, held fixed in all that follows. For \(r>0\) let \(M(r)= \max (|f(z)|: |z| =r)\) be the maximum modulus function of \(f\) and \(\mu(r)= \max (|a_n| r^n: n \geq 0)\) the maximum term in the series expansion of \(f\). The following extension of Wiman's theorem was proved by Rosenbloom:
Alfréd Rényi, Paul Erdös
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The exact transcendental entire solutions of complex equations with three quadratic terms
AIMS Mathematics, 2023 In this paper, we study the entire solutions of two quadratic functional equations in the complex plane. One consists of three basic terms, $ f(z), f'(z) $ and $ f(z+c) $, and the other one consists of $ f(z), f'(z) $ and $ f(qz) $.
Guowei Zhang
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Uniqueness of an entire function sharing a polynomial with its linear differential polynomial
Ratio Mathematica, 2020 In this paper we consider an entire function when it shares a polynomial with its linear differential polynomial. Our result is an improvement of a result of P. Li.
Imrul Kaish, Nasir Uddin Gazi
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Moving in the Dark: Enlightening the Spatial Population Ecology of European Cave Salamanders
Population Ecology, EarlyView.We assessed individual interactions, movement ecology and activity patterns of a subterranean population of Speleomantes strinatii, applying spatial capture–recapture modeling to a photographic dataset of 104 individuals. ABSTRACT Space use and movement are fundamental aspects of organisms' ecology, mirroring individual fitness, behavior, and life ...
Giacomo Rosa +2 more
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Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors
Population Ecology, EarlyView.Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
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Singular values of two-parameter families λ((bz − 1)/z)μ and λ(z/(bz − 1))η
Journal of Taibah University for Science, 2017 The singular values of two kinds of two-parameter families of functions (i) fλ,μ(z)=λ((bz−1)/z)μ and fλ,μ(0) = λ(ln b)μ, μ > 0, (ii) gλ,η(z)=λ(z/(bz−1))η and gλ,η(0) = λ/(ln b)η, η > 0; λ∈ℝ∖{0}, z∈ℂ, b > 0, b ≠ 1 are described.
Mohammad Sajid
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Population Ecology, EarlyView.Bear management changes management actions according to the horizontal axis of the population size and the vertical axis of the number of nuisance bears. Aiming for the target population size of Ntar, Actions I and II protect the bears, and Action IV reduces the population.
Hiroyuki Matsuda +5 more
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Population Ecology, EarlyView.Population size and dynamics fundamentally shape speciation by influencing genetic drift, founder events, and adaptive potential. Small populations may speciate rapidly due to stronger drift, whereas large populations harbor more genetic diversity, which can alter divergence trajectories. We highlight theoretical models that incorporate population size
Ryo Yamaguchi +3 more
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