Results 71 to 80 of about 233,365 (231)
Difference dimension quasi-polynomials
Advances in Applied Mathematics, 2017 We consider Hilbert-type functions associated with difference (not necessarily inversive) field extensions and systems of algebraic difference equations in the case when the translations are assigned some integer weights. We will show that such functions are quasi-polynomials, which can be represented as alternative sums of Ehrhart quasi-polynomials ...
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Lie group analysis of a generalized Krichever-Novikov differential-difference equation
, 2014 The symmetry algebra of the differential--difference equation $$\dot u_n = [P(u_n)u_{n+1}u_{n-1} + Q(u_n)(u_{n+1}+u_{n-1})+ R(u_n)]/(u_{n+1}-u_{n-1}),$$ where $P$, $Q$ and $R$ are arbitrary analytic functions is shown to have the dimension $1 \le \mbox ...
Decio Levi +10 more
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Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations [PDF]
, 2013 We introduce the concept of $\D$-operators associated to a sequence of polynomials $(p_n)_n$ and an algebra $\A$ of operators acting in the linear space of polynomials.
Durán, Antonio J.
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Value distribution of difference polynomials
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2007 We continue to studying value distribution of difference polynomials of meromorphic functions. In particular, we show that extending classical theorems of Tumura-Clunie type to difference polynomials needs additional assumptions.
Laine, Ilpo, Yang, Chung Chun
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Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
Open MathematicsThis study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
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MethodsX, 2020 When looking at a sequence of numbers, one that can be defined by a polynomial function of a natural number degree, one most commonly would use a difference table to find the degree followed by a system of equations to find the equation that models the ...
Rithvik Ravikumar
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Alternatives to polynomial trend-corrected differences-in-differences models [PDF]
Applied Economics Letters, 2018 A common problem with differences-in-differences (DD) estimates is the failure of the parallel-trend assumption.
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Ain Shams Engineering Journal, 2018 In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method ...
Basim Albuohimad +2 more
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On Value Distribution of Difference Polynomials of Meromorphic Functions
Abstract and Applied Analysis, 2011 We study the value distribution of the difference counterpart Δf(z)−af(z)n of f′(z)−af(z)n and obtain an almost direct difference analogue of results of Hayman.
Zong-Xuan Chen
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On the boundedness of poles of generalized Padé approximants
Advances in Difference Equations, 2019 Given a function F holomorphic on a neighborhood of some compact subset of the complex plane, we prove that if the zeros of the denominators of generalized Padé approximants (orthogonal Padé approximants and Padé–Faber approximants) for some row sequence
Nattapong Bosuwan
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