Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems

Dan Dai, Mourad E. H. Ismail, Xiang-Sheng Wang

We study the Plancherel--Rotach asymptotics of four families of orthogonal polynomials, the Chen--Ismail polynomials, the Berg-Letessier-Valent polynomials, the Conrad--Flajolet po…