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Factoring certain decic polynomials.
(2011-09-14)
This paper presents a simple method for decomposing and synthesizing certain decic polynomials.
Real orthogonal polynomials in frequency analysis
(Amer Mathematical Soc, 2004-01-01)
We study the use of para-orthogonal polynomials in solving the frequency analysis problem. Through a transformation of Delsarte and Genin, we present an approach for the frequency analysis by using the zeros and Christoffel ...
Real orthogonal polynomials in frequency analysis
(Amer Mathematical Soc, 2004-01-01)
We study the use of para-orthogonal polynomials in solving the frequency analysis problem. Through a transformation of Delsarte and Genin, we present an approach for the frequency analysis by using the zeros and Christoffel ...
A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas
(2013-01-01)
The class of hypergeometric polynomials F12(-m,b;b+b̄;1-z) with respect to the parameter b=λ+iη, where λ>0, are known to have all their zeros simple and exactly on the unit circle |z|=1. In this note we look at some of the ...
A class of hypergeometric polynomials with zeros on the unit circle: Extremal and orthogonal properties and quadrature formulas
(2013-01-01)
The class of hypergeometric polynomials F12(-m,b;b+b̄;1-z) with respect to the parameter b=λ+iη, where λ>0, are known to have all their zeros simple and exactly on the unit circle |z|=1. In this note we look at some of the ...
New Classes of Degenerate Unified Polynomials
(SwitzerlandSwitzerland, 2023)
Construction of shape functions for the h- and p-versions of the FEM using tensorial product
(John Wiley & Sons LtdChichesterInglaterra, 2007)
Real orthogonal polynomials in frequency analysis
(Amer Mathematical Soc, 2014)
A modified least squares method: Approximations on the unit circle and on (−1,1)
(2022-08-15)
The main objective in the present manuscript is to consider approximations of functions defined on the unit circle by Laurent polynomials derived from certain combinations of kernel polynomials of orthogonal polynomials ...