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Meromorphic solutions of three certain types of non-linear difference equations
AIMS Mathematics, 2021 In this paper, the representations of meromorphic solutions for three types of non-linear difference equations of form $ f^{n}(z)+P_{d}(z, f) = u(z)e^{v(z)}, $ $ f^{n}(z)+P_{d}(z, f) = p_{1}e^{\lambda z}+p_{2}e^{-\lambda z} $ and $
Min Feng Chen +2 more
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Multivariate polynomial values in difference sets
Discrete Analysis, 2021 Multivariate polynomial values in difference sets, Discrete Analysis 2021:11, 46 pp. A well known theorem of Furstenberg and Sárközy states that every dense set of integers must contain two elements that differ by a perfect square.
John R. Doyle, Alex Rice
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Multivariate Difference–Differential Dimension Polynomials [PDF]
Mathematics in Computer Science, 2020 28 ...
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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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Value distribution of difference and q-difference polynomials [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Nan, Yang, Lianzhong
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Results on the uniqueness of difference polynomials of entire functions
Revista de Matemática: Teoría y Aplicaciones, 2015 In this paper, we study the uniqueness of two difference polynomials of entire functions sharing one value, polynomial and small function. Our results of this paper are improvement of the previous theorems given by Chen and Chen [2], Liu, Liu and Cao [22]
Hua Wang, Hong Yan Xu
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Conditions for asymptotic stability of first order scalar differential-difference equation with complex coefficients [PDF]
Archives of Control Sciences, 2023 We investigate a scalar characteristic exponential polynomial with complex coefficients associated with a first order scalar differential-difference equation.
Rafał Kapica, Radosław Zawiski
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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.
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2021 In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number.
Ikhsan Maulidi +3 more
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Algebraic proof of recursive relation for Boros-Moll polynomial sequence [PDF]
Journal of Hebei University of Science and Technology, 2023 In order to expand the basic theory of the recurrence relationship of Boros-Moll polynomial sequence, a new proof method for the recurrence relationship of Boros-Moll polynomial sequence was studied.
Yujie DOU +3 more
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