Results 291 to 300 of about 235,552 (326)

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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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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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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On properties of difference polynomials

Acta Mathematica Scientia, 2011
Abstract We study the value distribution of difference polynomials of meromorphic functions, and extend classical theorems of Tumura-Clunie type to difference polynomials. We also consider the value distribution of f(z)f(z+c) .
Chen Zongxuan, Huang Zhibo, Zheng Xiumin
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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, Sablik, Maciej, Sklar, Abe   +2 more
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Singular Manifolds of Difference Polynomials

The Annals of Mathematics, 1951
1. Let F be an algebraically irreducible difference polynomial in unknowns Y1, Y2, ... , yn with coefficients in a difference field W. We showed previously' that the irreducible components of the manifold of F are of two types: ordinary manifolds not held by any polynomial of lower effective order than F in any yj; and essential singular manifolds ...
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Finite Differences and Orthogonal Polynomials

The Ramanujan Journal, 1999
By 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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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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A New Type of Difference Dimension Polynomials

Mathematics in Computer Science, 2022
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q-Difference equation and q-polynomials

Applied Mathematics and Computation, 2014
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