Results 21 to 30 of about 17,850 (309)
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.
Rubel, L.A, Schinzel, A, Tverberg, H
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On the Deficiencies of Some Differential-Difference Polynomials
Abstract and Applied Analysis, 2014 The characteristic functions of differential-difference polynomials are investigated, and the result can be viewed as a differential-difference analogue of the classic Valiron-Mokhon’ko Theorem in some sense and applied to investigate the deficiencies of
Xiu-Min Zheng, Hong Yan Xu
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Multivariate Difference–Differential Dimension Polynomials [PDF]
Mathematics in Computer Science, 2020 28 ...
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q-Calculus as operational algebra; pp. 73–97 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354â374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
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On the Intersections of the Components of a Difference Polynomial [PDF]
Proceedings of the American Mathematical Society, 1955 The purpose of this note is to prove the following theorem: Solutions common to two distinct components' of the manifold of a difference polynomial annul the separants of the polynomial. We begin by considering a field I, not necessarily a difference field, and a set of polynomials F,, F2,, * * *, Fp in K[ul, * , u.; xl, * *I* xp], the ui and xj being ...
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A Feature Descriptor by Difference of Polynomials
IPSJ Transactions on Computer Vision and Applications, 2013 In this paper, we propose a novel local image descriptor DoP which is termed as the difference of images represented by polynomials in different degrees. Once an interest point/region is extracted by a common image detec- tor such as Harris corner, our DoP descriptor is able to characterize the interest point/region with high distinctiveness ...
Bo Zheng 0001 +3 more
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Multivariate difference Gončarov polynomials
, 2022 Univariate delta Gončarov polynomials arise when the classical Gončarov interpolation problem in numerical analysis is modified by replacing derivatives with delta operators. When the delta operator under consideration is the backward difference operator, we acquire the univariate difference Gončarov polynomials, which have a combinatorial relation to ...
Adeniran, Ayomikun +2 more
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Non-linear difference polynomials sharing a polynomial with finite weight
Ratio MathematicaThe uniqueness theory of meromorphic function mainly studies the conditions under which there exists only one function satisfying these conditions. The uniqueness theory of entire and meromorphic functions has grown up as an extensive sub-field of value ...
Harina Pandit Waghamore +1 more
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Schubert polynomial expansions revisited
Forum of Mathematics, SigmaWe give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau +2 more
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On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter
Mathematics, 2019 We firstly consider the fully degenerate Gould⁻Hopper polynomials with a q parameter and investigate some of their properties including difference rule, inversion formula and addition formula.
Ugur Duran, Patrick Njionou Sadjang
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