Results 1 to 10 of about 17,850 (309)
Manifolds of Difference Polynomials [PDF]
Transactions of the American Mathematical Society, 1948 1. It is the purpose of this paper to develop in some detail the structure of the manifolds determined by systems of difference polynomials. Our results will necessarily be confined to the case of polynomials in an abstract field, since a suitable existence theorem for analytic difference equations is not available. The ideal theory, developed by J. F.
Richard M. Cohn
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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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Value Sharing Results for q-Shifts Difference Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2013 We investigate the zero distribution of q-shift difference polynomials of meromorphic functions with zero order and obtain some results that extend previous results of K. Liu et al.
Yong Liu +3 more
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Uniqueness of difference polynomials
AIMS Mathematics, 2021 <abstract><p>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)c)+\cdots+a_{1}f(z+c)+a_{0}f(z) $, where $ a_{k} (k = 0, 1, 2, \cdots, n) $
Xiaomei Zhang, Xiang Chen
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On Value Distribution of Difference Polynomials of Meromorphic Functions [PDF]
Abstract and Applied Analysis, 2011 We study the value distribution of the difference counterpart Δf(z)−af(z)n of f′(z)−af(z)n and obtain an almost direct difference analogue of results of Hayman.
Zong-Xuan Chen
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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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Mathematics, 2023 In this review paper, our aim is to study the current research progress of q-difference equations for generalized Al-Salam–Carlitz polynomials related to theta functions and to give an extension of q-difference equations for q-exponential operators and q-
Jian Cao +3 more
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On the generalized difference polynomials [PDF]
Pacific Journal of Mathematics, 1990 Factorization properties of a class of polynomials F in two indeterminates with the coefficients in an algebraically closed field are investigated. This class includes the generalized difference polynomials considered by \textit{L. A. Rubel} and \textit{S. S. Abhyankar} [J. Indian Math. Soc., New Ser. 43, 69-78 (1979; Zbl 0532.12021)] and by \textit{L.
Panaitopol, L., \cStefănescu, D.
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Discrete Hypergeometric Legendre Polynomials
Mathematics, 2021 A discrete analog of the Legendre polynomials defined by discrete hypergeometric series is investigated. The resulting polynomials have qualitatively similar properties to classical Legendre polynomials.
Tom Cuchta, Rebecca Luketic
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A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS
Ural Mathematical Journal, 2023 In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n ...
Yahia Habbachi
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