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math.NT2014
Rational Convolution Roots of Isobaric Polynomials
Aura Conci, Huilan Li, Trueman MacHenry
In this paper, we exhibit two matrix representations of the rational roots of generalized Fibonacci polynomials (GFPs) under convolution product, in terms of determinants and perma…
math.NT2012
Permanents, Determinants, Weighted Isobaric Polynomials and Integer Sequences
Huilan Li, Trueman MacHenry
In this paper we construct two types of Hessenberg matrices with the properties that every weighted isobaric polynomial (WIP) appears as a determinant of one of them, and as the pe…
math.NT2010★ 1 cited
The Convolution Ring of Arithmetic Functions and Symmetric Polynomials
Huilan Li, Trueman MacHenry
Inspired by Rearick (1968), we introduce two new operators, LOG and EXP. The LOG operates on generalized Fibonacci polynomials giving generalized Lucas polynomials. The EXP is the…