Akhiezerʹs Orthogonal Polynomials and Bernstein–Szegő Method for a Circular Arc Original Research Article

Orthogonal polynomials theory on a circular arc was apparently first developed by N. I. Akhiezer, who announced his asymptotic formulas for orthogonal polynomials on and off the support of orthogonality measure in a short note inDoklady AN SSSR. We present here a rigorous exposition of Akhiezerʹs result and outline some mild generalizations of the theory.