Results 21 to 30 of about 575,831 (281)
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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Uniqueness on linear difference polynomials of meromorphic functions
AIMS Mathematics, 2021 Suppose that $f(z)$ is a meromorphic function with hyper order $\sigma_{2}(f)
Ran Ran Zhang +2 more
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Exponential Polynomials and Nonlinear Differential-Difference Equations
Journal of Function Spaces, 2020 In this paper, we study finite-order entire solutions of nonlinear differential-difference equations and solve a conjecture proposed by Chen, Gao, and Zhang when the solution is an exponential polynomial.
Junfeng Xu, Jianxun Rong
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On the ω-multiple Meixner polynomials of the first kind
Journal of Inequalities and Applications, 2020 In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number.
Sonuç Zorlu Oğurlu, İlkay Elidemir
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Orthogonal Polynomials with Singularly Perturbed Freud Weights
Entropy, 2023 In this paper, we are concerned with polynomials that are orthogonal with respect to the singularly perturbed Freud weight functions. By using Chen and Ismail’s ladder operator approach, we derive the difference equations and differential-difference ...
Chao Min, Liwei Wang
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Algebra of quantum C $$ \mathcal{C} $$ -polynomials
Journal of High Energy Physics, 2021 Knot polynomials colored with symmetric representations of SL q (N) satisfy difference equations as functions of representation parameter, which look like quantization of classical A $$ \mathcal{A} $$ -polynomials.
Andrei Mironov, Alexei Morozov
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On the difference between permutation polynomials
Finite Fields and Their Applications, 2018 Abstract The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p > ( d 2 − 3 d + 4 ) 2 , then there is no complete mapping polynomial f in F p [ x ] of degree d ≥ 2 .
Vandita Patel +6 more
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Advanced Materials Interfaces, EarlyView., 2023 This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi +4 more
wiley +1 more source