Direct Connection between the R II Chain and the Nonautonomous Discrete Modified KdV Lattice

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

[关键词] orthogonal polynomials;spectral transformation;RII chain;nonautonomous discrete modified KdV lattice