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Uniqueness of difference polynomials
AIMS Mathematics, 2021 Let $ f(z) $ be a transcendental meromorphic function of finite order and $ c\in\Bbb{C} $ be a nonzero constant. For any $ n\in\Bbb{N}^{+} $, suppose that $ P(z, f) $ is a difference polynomial in $ f(z) $ such as $ P(z, f) = a_{n}f(z+nc)+a_{n-1}f(z+(n-1)
Xiaomei Zhang , Xiang Chen
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Entire functions that share a small function with their linear difference polynomial
AIMS Mathematics, 2022 In this paper, we investigate the uniqueness of an entire function sharing a small function with its linear difference polynomial. Our results improve some results due to Li and Yi [11], Zhang, Chen and Huang [17], Zhang, Kang and Liao [18,19] etc.
Minghui Zhang +2 more
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Mathematical Modelling and Analysis, 1998 This paper deals with a root condition for polynomial of the second order. We prove the root criterion for such polynomial with complex coefficients. The criterion coincides with well‐known Hurwitz criterion in the case of real coefficients.
A. Štikonas
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Lietuvos Matematikos Rinkinys, 1998 This paper deals with a root condition for polynomial of the second degree. We propose the root condition criterion for such polynomial wiith complex coefficients. The criterion coincide with well-known Hurwitz criterion in the case of real coefficients.
Artūras Štikonas
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Difference inequalities for polynomials in $L_0$
Matematychni Studii, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
É. A. Storozhenko
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Kolmogorov-Arnold-Moser Theory and Symmetries for a Polynomial Quadratic Second Order Difference Equation [PDF]
Mathematics, 2019 By using the Kolmogorov-Arnold-Moser (KAM) theory, we investigate the stability of two elliptic equilibrium points (zero equilibrium and negative equilibrium) of the difference equation t n + 1 = α t n + β t n 2 − t n ...
Tarek F. Ibrahim, Zehra Nurkanović
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Multivariate Difference Gon\v{c}arov Polynomials [PDF]
, 2020 17 ...
Ayomikun Adeniran +2 more
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Multivariate Polynomial Values in Difference Sets [PDF]
, 2020 For $\ell\geq 2$ and $h\in \mathbb{Z}[x_1,\dots,x_{\ell}]$ of degree $k\geq 2$, we show that every set $A\subseteq \{1,2,\dots,N\}$ lacking nonzero differences in $h(\mathbb{Z}^{\ell})$ satisfies $|A|\ll_h Ne^{-c(\log N)^ }$, where $c=c(h)>0$, $ =[(k-1)^2+1]^{-1}$ if $\ell=2$, and $ =1/2$ if $\ell\geq 3$, provided $h(\mathbb{Z}^{\ell})$ contains ...
John R. Doyle, Alex Rice
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Alternatives to polynomial trend-corrected differences-in-differences models [PDF]
Applied Economics Letters, 2018 A common problem with differences-in-differences (DD) estimates is the failure of the parallel-trend assumption.
Vincent Vandenberghe
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Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight
Cubo, 2022 In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial with finite weight.
Goutam Haldar
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