Results 31 to 40 of about 575,831 (281)
Multivariate difference Gončarov polynomials
, 2022 17 ...
Adeniran, A., Snider, L., Yan, C.
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On the Finite Differences of a Polynomial [PDF]
The Annals of Mathematical Statistics, 1935 In this paper an apparently new and convenient method of finding the successive finite differences of a polynomial is considered. If operationally 4(u + rjr2) = Er7r2 4(u) = (1 + Ari)r2 4o(u) then for any polynomial f(x) of degree "n" f(x) = po xn + P, Xn-1 +--+ Pn = po(x + a)n + qll(x + a)n-I + + qln Eaf(x) = po(x + a)n + pl(x + a)n-' + + Pn Aaf(X) = (
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Polynomial solutions of algebraic difference equations and homogeneous symmetric polynomials
Journal of Symbolic Computation, 2021 This article addresses the problem of computing an upper bound of the degree d of a polynomial solution P(x) of an algebraic difference equation of the form G(x)(P(x−τ1),…,P(x−τs))+G0(x)=0 when such P(x) with the coefficients in a field K of characteristic zero exists and where G is a non-linear s-variable polynomial with coefficients in K[x] and G0 is
Olha Shkaravska +3 more
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Zeros of some difference polynomials [PDF]
Advances in Difference Equations, 2013 In this paper, we study zeros of some difference polynomials in f (z) and their shifts, where f (z) is a finite order meromorphic function having deficient value ∞. These results improve previous findings.
Zong-Xuan Chen, Shuangting Lan
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Unicity of transcendental meromorphic functions concerning differential-difference polynomials
AIMS Mathematics, 2022 Let $ f $ and $ g $ be two transcendental meromorphic functions of finite order with a Borel exceptional value $ \infty $, let $ \alpha $ $ (\not\equiv 0) $ be a small function of both $ f $ and $ g $, let $ d, k, n, m $ and $ v_j (j = 1, 2, \cdots, d) $
Zhiying He, Jianbin Xiao, Mingliang Fang
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Sums of Separable and Quadratic Polynomials [PDF]
arXiv, 2021 We study separable plus quadratic (SPQ) polynomials, i.e., polynomials that are the sum of univariate polynomials in different variables and a quadratic polynomial. Motivated by the fact that nonnegative separable and nonnegative quadratic polynomials are sums of squares, we study whether nonnegative SPQ polynomials are (i) the sum of a nonnegative ...
arxiv
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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Value Sharing Results for q-Shifts Difference Polynomials
Discrete Dynamics in Nature and Society, 2013 We investigate the zero distribution of q-shift difference polynomials of meromorphic functions with zero order and obtain some results that extend previous results of K. Liu et al.
Yong Liu +3 more
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Zeros Transfer For Recursively defined Polynomials [PDF]
arXiv, 2023 The zeros of D'Arcais polynomials, also known as Nekrasov--Okounkov polynomials, dictate the vanishing of the Fourier coefficients of powers of the Dedekind functions. These polynomials satisfy difference equations of hereditary type with non-constant coefficients.
arxiv
AIMS MathematicsWe construct a new type of Genocchi polynomials using degenerate quantum exponential functions and find various forms of $ (q, h) $-difference equations with these polynomials as solutions. This paper includes properties of the symmetric structures of $ (
Jung Yoog Kang , Cheon Seoung Ryoo
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