Asymptotics of recurrence coefficients for orthonormal polynomials on the line—Magnus’s method revisited
Asymptotics of recurrence coefficients for orthonormal polynomials on the line—Magnus’s method revisited
We use Freud equations to obtain the main term in the asymptotic expansion of the recurrence coefficients associated with orthonormal polynomials $p_n(w^2)$ for weights $w=W\exp (-Q)$ on the real line where $Q$ is an even polynomial of fixed degree with nonnegative coefficients or where $Q(x) =\exp (x^{2m}), m\geq 1$. Here …