Results 31 to 40 of about 601,525 (187)
Meromorphic functions that share a polynomial with their difference operators
Advances in Difference Equations, 2018 In this paper, we prove the following result: Let f be a nonconstant meromorphic function of finite order, p be a nonconstant polynomial, and c be a nonzero constant.
Bingmao Deng +3 more
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Characteristic Polynomial Patterns in Difference Sets of Matrices
, 2015 We show that for every subset $E$ of positive density in the set of integer square-matrices with zero traces, there exists an integer $k \geq 1$ such that the set of characteristic polynomials of matrices in $E-E$ contains the set of \emph{all ...
Björklund, Michael, Fish, Alexander
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Difference equations on discrete polynomial hypergroups
Advances in Difference Equations, 2006 The classical theory of homogeneous and inhomogeneous linear difference equations with constant coefficients on the set of integers or nonnegative integers provides effective solution methods for a wide class of problems arising from different fields of
Orosz Ágota
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On Correctness of Cauchy problem for a Polynomial Difference Operator with Constant Coefficients
Известия Иркутского государственного университета: Серия "Математика", 2018 The theory of linear difference equations is applied in various areas of ma\-the\-matics and in the one-dimensional case is quite established. For $n>1$, the situation is much more difficult and even for the constant coefficients a general description of
M. S. Apanovich, E.K. Leinartas
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A polynomial conjecture connected with rogue waves in the KdV equation
Partial Differential Equations in Applied Mathematics, 2021 A polynomial conjecture, associated with rational solutions including rogue wave solutions of the KdV equation, is presented. The conjecture can be used to show that for the bilinear KdV equation, an arbitrary linear combination of two Wronskian ...
Wen-Xiu Ma
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Uniqueness of $q$-shift difference polynomials of meromorphic functions sharing a small function [PDF]
Mathematica Bohemica, 2020 We investigate the uniqueness of a $q$-shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V. Thin (2017) to $q$-difference operators.
Renukadevi S. Dyavanal +1 more
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On the difference between permutation polynomials
Finite Fields and Their Applications, 2018 Abstract The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p > ( d 2 − 3 d + 4 ) 2 , then there is no complete mapping polynomial f in F p [ x ] of degree d ≥ 2 .
Vandita Patel +6 more
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A SURJECTIVITY PROBLEM FOR MATRICES AND NULL CONTROLLABILITY FOR DIFFERENCE AND DIFFERENTIAL MATRIX EQUATIONS [PDF]
Surveys in Mathematics and its Applications, 2020 Let P be a complex polynomial. We prove that the associated polynomial matrix-valued function \tildeP is surjective if for each λ ∈ ℂ the polynomial P-λ has at least a simple zero. The null controllability for difference and differential matrix equations
Donal O'Regan, Constantin Buşe
doaj
$C_{n}$-moves and the difference of Jones polynomials for links
, 2017 The Jones polynomial $V_{L}(t)$ for an oriented link $L$ is a one-variable Laurent polynomial link invariant discovered by Jones. For any integer $n\ge 3$, we show that: (1) the difference of Jones polynomials for two oriented links which are $C_{n ...
Nikkuni, Ryo
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Multivariate difference Gončarov polynomials
, 2022 17 ...
Adeniran, A., Snider, L., Yan, C.
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