On the distribution and interlacing of the zeros of Stieltjes polynomials
On the distribution and interlacing of the zeros of Stieltjes polynomials
Polynomial solutions to the generalized Lamé equation, the Stieltjes polynomials, and the associated Van Vleck polynomials have been studied since the 1830âs, beginning with Lamé in his studies of the Laplace equation on an ellipsoid, and in an ever widening variety of applications since. In this paper we show how …