چكيده فارسي :
In 2000, P. Bourdon and et al conjectured that for an automorphic
composition operator satisfying Tk = I for any natural number k,
W(T) is not a disk. In connection to this conjecture, we introduce a class
of matrices with minimal polynomial zk ¡ 1, and present some numerical
and experimental results connecting to the shape of the numerical ranges
of such matrices.
