A generalization of Chebyshev polynomials and non rooted posets
Abstract
In this paper we give a generalization of Chebyshev polynomials and using this we describe the M\"obius function of the generalized subword order from a poset a1,...as,c |ai<c, which contains an affirmative answer for the conjecture by Bj\"orner, Sagan, Vatter.[5,10]
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