Results 271 to 280 of about 17,850 (309)

q-Difference equation and q-polynomials

Applied Mathematics and Computation, 2014
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On the Difference of Orthonormal Polynomials

Quaestiones Mathematicae, 2003
We establish an estimate on the difference of orthonormal polynomials for a general class of exponential weights. Mathematics Subject Classification (2000): 41A05, 05E35, 41A65 Key words: Orthonormal polynomials, exponential weights Quaestiones Mathematicae 26(2003), 347 ...
Kubayi D.G., Mashele H.P.
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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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The Properties of Differential-Difference Polynomials

Ukrainian Mathematical Journal, 2017
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Liu, K., Cao, T. B., Liu, X. L.
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Results on uniqueness of a polynomial and difference differential polynomial

Advanced Studies: Euro-Tbilisi Mathematical Journal, 2023
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Raj, Preetham N., Waghamore, Harina P.
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Remarks on Difference-Polynomials

Bulletin of the London Mathematical Society, 1985
A 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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A New Type of Difference Dimension Polynomials

Mathematics in Computer Science, 2022
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An Existence Theorem for Difference Polynomials

Proceedings of the American Mathematical Society, 1966
Introduction. The abstract varieties (also called manifolds) of difference algebra [2], [3] have not heretofore had a realization as sets of functions comparable to the realization provided for differential manifolds by the analytic existence theorem for differential equations (see [4], particularly p. 23).
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