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 Möbius function of the generalized subword order from a poset {a1,...as,c |ai<c}, which contains an affirmative answer for the conjecture by Björner, Sagan, Vatter.[5,10]

11pages