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Long-term retrospective analysis of seasonal influenza epidemic patterns in Southeastern Province of China: based on case reports, syndromic, and pathogenic surveillance. [PDF]
Ye X +14 more
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Similar Survival Rates of Territorial and Sneaker Males in a Polymorphic Damselfly: A Multi-Year Study. [PDF]
Tsubaki Y +4 more
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Machine learning-driven stability analysis of eco-friendly superhydrophobic graphene-based coatings on copper substrate. [PDF]
Mamgain HP +7 more
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Updated prevalence estimates of obesity among adults in the United States, 2005-2018. [PDF]
Kranjac AW, Kranjac D.
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Difference polynomials and their generalizations
Mathematika, 2001\textit{A. Ehrenfeucht} [Pr. Mat. 2, 167--169 (1956; Zbl 0074.25505)] proved that a difference polynomial \(f(X)-g(Y)\) in two variables \(X,Y\) with complex coefficients is irreducible provided that the degrees of \(f\) and \(g\) are coprime. \textit{G. Angermüller} [A generalization of Ehrenfeucht's irreducibility criterion. J.
Bhatia, Saurabh, Khanduja, Sudesh K.
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Multivariable Difference Dimension Polynomials
Journal of Mathematical Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Remarks on Difference-Polynomials
Bulletin of the London Mathematical Society, 1985A polynomial of the form \(f(x)-g(y),\) where x and y are disjoint finite sets of variables, is called a difference polynomial. Let \(P(x)-Q(y)\) and \(P^*(x)-Q^*(y)\) be two difference-polynomials having an irreducible common factor F. The main theorem of this article establishes the existence of a difference polynomial f(x)-g(y) which is divisible by
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Polynomials and divided differences
Publicationes Mathematicae Debrecen, 2005\textit{J. Aczél} showed in 1963 [see Math. Mag. 58, 42--45 (1985; Zbl 0571.39005)] that there is a simple functional equation involving two unknown functions, say \(f\) and \(g\), whose general solution (no regularity conditions whatever) is: \(f\) is a polynomial of degree at most 2 and \(g\) is the derivative of \(f\).
Riedel, Thomas +2 more
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Finite Differences and Orthogonal Polynomials
The Ramanujan Journal, 1999By combining finite differences with symmetric functions, we present an elementary demonstration for the limit relation from Laguerre to Hermite polynomials, proposed by Richard Askey. Another limit relation between these two polynomials is also established.
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