Zeros of a binomial combination of Chebyshev polynomials

Summer Al Hamdani, Khang Tran

For $0<\alpha <1$, we study the zeros of the sequence of polynomials ${\left\{P_m(z)\right\}}_{m=0}^{\infty }$ generated by the reciprocal of $(1-t{)}^{\alpha }(1-2zt+t^2)$, expanded as a power…