Results 51 to 60 of about 7,607,900 (314)
Meromorphic Functions Sharing a Small Function
Abstract and Applied Analysis, 2007 We will study meromorphic functions that share a small function, and prove the following result: let f(z) and g(z) be two transcendental meromorphic functions in the complex plane and let n≥11 be a positive integer. Assume that a(z)(≢0) is a common small
Songmin Wang, Zongsheng Gao
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$L_p$ compression, traveling salesmen, and stable walks
, 2009 We show that if $H$ is a group of polynomial growth whose growth rate is at least quadratic then the $L_p$ compression of the wreath product $\Z\bwr H$ equals $\max{\frac{1}{p},{1/2}}$. We also show that the $L_p$ compression of $\Z\bwr \Z$ equals $\max{\
Naor, Assaf, Peres, Yuval
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Pediatric Blood &Cancer, EarlyView.ABSTRACT We sought to identify potential early risk biomarkers for lung disease in children post‐allogeneic HCT. Patients with pulmonary function tests 3 months post‐transplant and plasma samples between days 7 and 14 post‐HCT were included. Six of 27 subjects enrolled had reduced forced expiratory volume 1 (FEV1) z scores.
Isabella S. Small +3 more
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Composition of entire function and analytic functions in the unit ball with a vanished gradient
Математичні СтудіїThe composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Partial sums and inclusion relations for analytic functions involving (p, q)-differential operator
Open Mathematics, 2021 Let fk(z)=z+∑n=2kanzn{f}_{k}\left(z)=z+{\sum }_{n=2}^{k}{a}_{n}{z}^{n} be the sequence of partial sums of the analytic function f(z)=z+∑n=2∞anznf\left(z)=z+{\sum }_{n=2}^{\infty }{a}_{n}{z}^{n}.
Tang Huo +3 more
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Julia set of the function $z\exp(z+\mu)$
Tohoku Mathematical Journal, 1992 The author shows that there is a certain \(\alpha> 2\) such that for all \(\mu\in (-\infty,2)\cup (2,\alpha)\) the function \(f_ \mu\): \(z\to z \exp(z+\mu)\) has a Julia set which is not the whole complex plane. He also shows that there is a sequence \(\mu_ n\) such that \(2< \mu_ n< \mu_{n+1}\) and the Julia set of \(f_{\mu_ n}\) is the whole complex
openaire +2 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT The pediatric hematology‐oncology fellowship training curriculum has not substantially changed since its inception. The first year of training is clinically focused, and the second and third years are devoted to scholarship. However, this current structure leaves many fellows less competitive in the current job market, resulting in ...
Scott C. Borinstein +3 more
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Meromorphic Solutions of Some Complex Difference Equations
Advances in Difference Equations, 2009 The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form ∑{J}αJ(z)(∏j∈Jf(z+cj))=R(z,f(z)), where {J} is a collection of all subsets of {1,2,…,n}
Zhi-Bo Huang, Zong-Xuan Chen
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The asymptotics of the generalised Bessel function [PDF]
, 2017 We demonstrate how the asymptotics for large |z| of the generalised Bessel function 0Ψ1(z) = X∞ n=0 z n Γ(an + b)n! , where a > −1 and b is any number (real or complex), may be obtained by exploiting the well-established asymptotic theory of the ...
Paris, R. B.
core
Evolution of the Luminosity Function and Colors of Galaxies in a Lambda-CDM Universe
, 2001 The luminosity function of galaxies is derived from a cosmological hydrodynamic simulation of a Lambda cold dark matter (CDM) universe with the aid of a stellar population synthesis model. At z=0, the resulting B band luminosity function has a flat faint
Arnett +52 more
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