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math.CO2024
Gamma vectors as inverted Chebyshev expansions, type A to B transformations, and connections to algebraic structures
Soohyun Park
Given a reciprocal/palindromic polynomial of even degree, we show that the gamma vector is essentially given by an inverted Chebyshev polynomial basis expansion. As an immediate co…
math.CO2024★ 1 cited
Explicit expressions for the gamma vector leading to connections to upper/lower bounds and structural properties
Soohyun Park
We find an explicit formula for the gamma vector in terms of the input polynomial in a way that extends it to arbitrary polynomials. More specifically, we find explicit linear comb…