Results 51 to 60 of about 233,365 (231)
The Zeros of Difference Polynomials of Meromorphic Functions
Abstract and Applied Analysis, 2012 We investigate the value distributions of difference polynomials Δf(z)-af(z)n and f(z)nf(z+c) which related to two well-known differential polynomials, where f(z) is a meromorphic function.
Junfeng Xu, Xiaobin Zhang
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On the ω-multiple Charlier polynomials
Advances in Difference Equations, 2021 The main aim of this paper is to define and investigate more general multiple Charlier polynomials on the linear lattice ω N = { 0 , ω , 2 ω , … } $\omega \mathbb{N} = \{ 0,\omega ,2\omega ,\ldots \} $ , ω ∈ R $\omega \in \mathbb{R}$ .
Mehmet Ali Özarslan, Gizem Baran
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, 2016 In this paper, a fourth-order partial divided-difference equation on quadratic lattices with polynomial coefficients satisfied by bivariate Racah polynomials is presented.
Area, I. +4 more
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Decomposition of ordinary difference polynomials
Journal of Symbolic Computation, 2009 AbstractIn this paper, we present an algorithm to decompose ordinary non-linear difference polynomials with rational functions as coefficients. The algorithm provides an effective reduction of the decomposition of difference polynomials to the decomposition of linear difference polynomials over the same coefficient field.
Mingbo Zhang, Xiao-Shan Gao
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AIMS MathematicsIn this study, we introduced several types of higher-order difference equations involving $ q $-SINE Euler (QSE) and $ q $-COSINE Euler (QCE) polynomials.
Jung Yoog Kang, Cheon Seoung Ryoo
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Dual -1 Hahn polynomials: "classical" polynomials beyond the Leonard duality [PDF]
, 2011 We introduce the -1 dual Hahn polynomials through an appropriate $q \to -1$ limit of the dual q-Hahn polynomials. These polynomials are orthogonal on a finite set of discrete points on the real axis, but in contrast to the classical orthogonal ...
Tsujimoto, Satoshi +2 more
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Polynomial configurations in difference sets
Journal of Number Theory, 2009 AbstractWe prove a quantitative result on the existence of linearly independent polynomial configurations in the difference set of sparse subsets of the integers. This result is achieved by first establishing a higher dimensional analogue of a theorem of Sárközy and then applying a simple lifting argument.
Akos Magyar, Neil Lyall
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On Difference-of-SOS and Difference-of-Convex-SOS Decompositions for Polynomials
, 2020 In this paper, we are interested in developing polynomial decomposition techniques to reformulate real valued multivariate polynomials into difference-of-sums-of-squares (namely, D-SOS) and difference-of-convex-sums-of-squares (namely, DC-SOS).
Niu, Yi-Shuai
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Orthogonal polynomials with a resolvent-type generating function
, 2006 The subject of this paper are polynomials in multiple non-commuting variables. For polynomials of this type orthogonal with respect to a state, we prove a Favard-type recursion relation. On the other hand, free Sheffer polynomials are a polynomial family
Anshelevich, Michael
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Applied Mathematics in Science and EngineeringIn this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan +3 more
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