A Kind of Chebyshev Transform of Nonzero Reciprocal Polynomials with Integral Coefficients

According to the properties of the first kind and the second kind Chebyshev polynomials, Chebyshev transform of some nonzero reciprocal polynomials with integral coefficients such as P_{(n, n)}(z)=z²ⁿ+1, Q_{(n, n)}(z)=z²ⁿ+z^2n-2+…+z²+1 were studied, and Chebyshev transform formulas on the polynomials P_{(mn, mn)}(z), Q_{(mn-1, mn-1)}(z) and a corollary were obtained.