Recently, (β,γ)-Chebyshev functions, as well as the corresponding
zeros, have been introduced as a generalization of classical Chebyshev
polynomials of the first kind and related roots. They consist of a family of
orthogonal functions on a subset of [−1,1], which indeed satisfies a
three-term recurrence formula. In this paper we present further properties,
which are proven to comply with various results about classical orthogonal
polynomials. In addition, we prove a conjecture concerning the Lebesgue
constant's behavior related to the roots of (β,γ)-Chebyshev
functions in the corresponding orthogonality interval