Results 291 to 300 of about 616,883 (325)
Some of the next articles are maybe not open access.
Singular Manifolds of Difference Polynomials
The Annals of Mathematics, 19511. 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 ...
openaire +1 more source
The Properties of Differential-Difference Polynomials
Ukrainian Mathematical Journal, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, K., Cao, T. B., Liu, X. L.
openaire +2 more sources
On the Difference of Orthonormal Polynomials
Quaestiones Mathematicae, 2003We 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.
openaire +2 more sources
q-Difference equation and q-polynomials
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
On properties of difference polynomials
Acta Mathematica Scientia, 2011Abstract 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
openaire +1 more source
An Existence Theorem for Difference Polynomials
Proceedings of the American Mathematical Society, 1966Introduction. 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).
openaire +2 more sources
Conversion of Polynomials between Different Polynomial Bases
IMA Journal of Numerical Analysis, 1981Ting, B. Y., Luke, Y. L.
openaire +2 more sources
Nanofluidics for osmotic energy conversion
Nature Reviews Materials, 2021, Liping Wen, Lei Jiang
exaly
The fundamentals and applications of ferroelectric HfO2
Nature Reviews Materials, 2022Uwe Schroeder +2 more
exaly
New Difference Gröbner Bases and Bivariate Difference Dimension Polynomials
Mathematics in Computer ScienceThis article introduces \textbf{E-Gröbner bases}, a novel type of Gröbner basis for free difference modules over a difference field \(K\) with basic set \(\sigma = \{\alpha_1, \dots, \alpha_m\}\). The key innovation is a reduction process that respects the \textit{effective order} of module elements.
openaire +1 more source