Results 1 to 10 of about 235,552 (326)
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.
Laurenţiu Panaitopol, D. M. Stefanescu
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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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Value Distributions and Uniqueness of Difference Polynomials [PDF]
Advances in Difference Equations, 2011 We investigate the zeros distributions of difference polynomials of meromorphic functions, which can be viewed as the Hayman conjecture as introduced by (Hayman 1967) for difference.
TingBin Cao, Xinling Liu, Kai Liu
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Zero distribution of polynomials satisfying a differential-difference equation [PDF]
, 2013 In this paper we investigate the asymptotic distribution of the zeros of polynomials $P_{n}(x)$ satisfying a first order differential-difference equation.
Dominici, Diego, Van Assche, Walter
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On the Deficiencies of Some Differential-Difference Polynomials [PDF]
Abstract and Applied Analysis, 2014 The characteristic functions of differential-difference polynomials are investigated, and the result can be viewed as a differential-difference analogue of the classic Valiron-Mokhon’ko Theorem in some sense and applied to investigate the deficiencies of
Xiu-Min Zheng, Hong Yan Xu
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Linear difference equations and exponential polynomials [PDF]
Transactions of the American Mathematical Society, 1948 In Theorem 2, equation (1) is studied under the assumptions that k(x) is analytic in a sector S (3): I arg x I
Walter Strodt
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A theorem on difference polynomials [PDF]
Bulletin of the American Mathematical Society, 1949 Richard M. Cohn
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Multivariable Difference Dimension Polynomials [PDF]
Journal of Mathematical Sciences, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Levin
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The Zeros of Difference Polynomials of Meromorphic Functions
Abstract and Applied Analysis, 2012 We investigate the value distributions of difference polynomials Δf(z)-af(z)n and f(z)nf(z+c) which related to two well-known differential polynomials, where f(z) is a meromorphic function.
Junfeng Xu, Xiaobin Zhang
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Difference sets and Polynomials of prime variables [PDF]
Acta Arithmetica, 2007 Let (x) be a polynomial with rational coefficients. Suppose that has the positive leading coefficient and zero constant term. Let A be a set of positive integers with the positive upper density. Then there exist x,y\in A and a prime p such that x-y= (p-1).
Hongze Li, Hao Pan
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