Results 21 to 30 of about 8,973,715 (361)
Journal of Physics: Conference Series, 2020 By using the notion of weakly weighted sharing and relaxed weighted sharing we investigate the value distribution problems when two difference polynomials of entire functions share a small function α 0(z).
V. Husna
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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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On differential-difference polynomials
International Journal of Contemporary Mathematical Sciences, 2016 A differential-difference polynomial is a polynomial in f(z) , its shifts, its derivatives and derivatives of its shifts. In this paper, we investigate the problem of uniqueness of a non-constant meromorphic function f(z) and its differentialdifference ...
R. Dhar
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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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Polynomial Differences in the Primes [PDF]
, 2014 We establish, utilizing the Hardy-Littlewood Circle Method, an asymptotic formula for the number of pairs of primes whose differences lie in the image of a fixed polynomial. We also include a generalization of this result where differences are replaced with any integer linear combination of two primes.
Alex Rice, Neil Lyall
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Sharing values of q-difference-differential polynomials
Advances in Difference Equations, 2020 This paper is devoted to the uniqueness of q-difference-differential polynomials of different types. Using the idea of common zeros and common poles (Chin. Ann. Math., Ser.
Jian Li, Kai Liu
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On Picard value problem of some difference polynomials [PDF]
, 2017 In this paper, we study the value distribution of zeros of certain nonlinear difference polynomials of entire functions of finite order.
Z. Latreuch, B. Belaïdi
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On the Uniqueness Results and Value Distribution of Meromorphic Mappings
Mathematics, 2017 This research concentrates on the analysis of meromorphic mappings. We derived several important results for value distribution of specific difference polynomials of meromorphic mappings, which generalize the work of Laine and Yang.
Rahman Ullah +4 more
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On difference polynomials and hereditarily irreducible polynomials
Journal of Number Theory, 1980 AbstractA difference polynomial is one of the form P(x, y) = p(x) − q(y). Another proof is given of the fact that every difference polynomial has a connected zero set, and this theorem is applied to give an irreducibility criterion for difference polynomials. Some earlier problems about hereditarily irreducible polynomials (HIPs) are solved.
Lee A. Rubel, Helge Tverberg, A Schinzel
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Zeros of difference polynomials
Journal of Approximation Theory, 1992 AbstractLet Δ be the difference operator defined by Δf(x) = f(x + 1) − f(x). The polynomial Δmxn of degree n − m is known to have n − m collinear zeros. We study the distribution of these zeros and relate them to zeros of Hermite polynomials. Several open questions are presented.
John J. Warvik, Ronald J. Evans
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