Norm behavior and zero distribution for orthogonal polynomials with nonsymmetric weights (Q1117419)

The asymptotic behavior of the nth root of the leading coefficient of orthogonal polynomials on (-\(\infty,\infty)\) and the distribution of their zeros is studied for nonsymmetric weights that behave like \(\exp (- 2Ax^{\alpha})\) when \(x>0\) and \(\exp (-2B| x|^{\alpha})\) when \(x<0\), where \(A\neq B\). These results generalize previous investigations of Rakhamanov and Mhaskar and Saff who handle the symmetric case \(A=B\).