Shapiro polynomials

Known as: Golay-Shapiro polynomials, Rudin-Shapiro polynomials 
In mathematics, the Shapiro polynomials are a sequence of polynomials which were first studied by Harold S. Shapiro in 1951 when considering the… (More)
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2013
2013
Littlewood polynomials are polynomials with each of their coefficients in {−1, 1}. A sequence of Littlewood polynomials that… (More)
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2011
Highly Cited
2011
The importance of normal distribution is undeniable since it is an underlying assumption of many statistical procedures such as t… (More)
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2011
2011
In the Rudin-Osher-Fatemi (ROF) image denoising model, Total Variation (TV) is used as a global regularization term. However, as… (More)
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Highly Cited
2010
Highly Cited
2010
In image processing, the Rudin-Osher-Fatemi (ROF) model [L. Rudin, S. Osher, and E. Fatemi, Physica D, 60(1992), pp. 259–268… (More)
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2009
2009
The Shapiro–Rudin polynomials are well traveled, and their relation to Golay complementary pairs is well known. Because of the… (More)
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2008
Highly Cited
2008
We show that the demand for news varies with the perceived affinity of the news organization to the consumer’s political… (More)
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2007
2007
Inhibitor of DNA binding 1 (Id-1) has been implicated in tumor angiogenesis by regulating the expression of vascular endothelial… (More)
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2005
2005
We know from Littlewood (1968) that the moments of order 4 of the classical Rudin–Shapiro polynomials Pn(z) satisfy a linear… (More)
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2005
2005
We develop a new approach of the Rudin-Shapiro polynomials. This enables us to compute their moments of even order q for q 32… (More)
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2000
2000
We examine sequences of polynomials with {+1,−1} coefficients constructed using the iterations p(x) → p(x) ± xd+1p∗(−x), where d… (More)
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