Chebyshev polynomials corresponding to a vanishing weight
We consider weighted Chebyshev polynomials on the unit circle corresponding to a weight of the form (z−1)s where s > 0. For integer values of s this corresponds to prescribing a zero of the polynomial on the boundary. As such, we extend findings of Lachance et al. (1979), to non-integer s. Using this generalisation, we are able to relate Chebyshev polynomials on lemniscates and other, more establi