Semi-analytical solutions for eigenvalue problems of chains and periodic graphs

Hariprasad M., Murugesan Venkatapathi

We first show the existence and nature of convergence to a limiting set of roots for polynomials in a three-term recurrence of the form $p_{n+1}(z)=Q_k(z)p_n(z)+\gamma p_{n-1}(z)$ a…