M. X. He, P. Natalini, and P. E. Ricci

Zeros' Asymptotic Distribution of Polynomials Orthogonal with Respect to Varying Weights

abstract:
By using the WKB method, we found the asymptotic distribution of the zeros of some sets of polynomials orthogonal with respect to varying weights, including the so called relativistic orthogonal polynomials.

Mathematics Subject Classification: 33C45, 22A30, 33A35, 34E99.

Key words and phrases: Polynomials orthogonal with respect to varying weights, relativistic polynomials, hypergeometric differential equations, WKB approximation, zero's distribution.