This long paper gives a nearly complete treatment of the properties of polynomials orthogonal with respect to exponential weights on (in)finite intervals (bounds, zeros, Christoffel functions etc.).
The weights are
with continuous and increasing on with .
The main results are on – bounds for the polynomials (Theorems 1.2–1.5 on pages 204/205), – restricted range inequalities (Theorems 5.1–5.2 on page 220), – Christoffel functions (Theorems 6.1–6.2 on pages 230/231), – the zeros (Theorems 7.1–7.2 on page 236).
This is a very nicely written paper, entirely within the setting of so-called ‘hard analysis’.