The differential equations for generalized parametric Chebyshev polynomials

We continue the consideration of polynomials defined by recurrent relations with periodic coefficients. We discuss now the differential equations for generalized Chebyshev polynomials depending on a parameter α. This parameter ranges over segment [-1; 1]. For α = 0;±1 these polynomials became the elementary 3-symmetric Chebyshev polynomials connected with compound model of generalized oscillator that authors was discussed at the previous conference. We study the asymptotic behaviour of the regular critical points of considered differential equations as α→1.