Direct Connection between the RII Chain and the Nonautonomous Discrete Modified KdV Lattice

Abstract

The spectral transformation technique for symmetric RII polynomials is developed. Use of this technique reveals that the nonautonomous discrete modified KdV (nd-mKdV) lattice is directly connected with the RII chain. Hankel determinant solutions to the semi-infinite nd-mKdV lattice are also presented.

Keywords

• orthogonal polynomials
• spectral transformation
• RII chain
• nonautonomous discrete modified KdV lattice