16 citations · 27 across the 3 of their papers we have counts for
3 papers
math-ph2009
Cauchy Biorthogonal Polynomials
M. Bertola, M. Gekhtman, J. Szmigielski
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite-Pade' approximation scheme. Associated to any totally positiv…
nlin.SI2007★ 11 cited
Peakons and Cauchy Biorthogonal Polynomials
M. Bertola, M. Gekhtman, J. Szmigielski
The contents of the paper is now covered in two separate papers arXiv:0904.2188 and arXiv:0904.2602. Please refer to those. Note that you can still access the original version arXi…
math.SP2006★ 16 cited
The inverse spectral problem for the discrete cubic string
Jennifer Kohlenberg, Hans Lundmark, Jacek Szmigielski
Given a measure on the real line or a finite interval, the "cubic string" is the third order ODE where is a spectral parameter. If equipped with Dirichlet-like…