25 citations · 83 across the 21 of their papers we have counts for
Showing 2018 · math-phShow all
3 papers · 2 filters
math-ph2018
Solvable dynamical systems and isospectral matrices defined in terms of the zeros of orthogonal or otherwise special polynomials
Oksana Bihun
Several recently discovered properties of multiple families of special polynomials (some orthogonal and some not) that satisfy certain differential, difference or q-difference equa…
math-ph2018★ 2 cited
Time-dependent polynomials with one multiple root and new solvable dynamical systems
Oksana Bihun
A time-dependent monic polynomial in the z variable with N distinct roots such that exactly one root has multiplicity m>=2 is considered. For k=1,2, the k-th derivatives of the N r…
math-ph2018
Time-dependent polynomials with one double root, and related new solvable systems of nonlinear evolution equations
Oksana Bihun, Francesco Calogero
Recently new solvable systems of nonlinear evolution equations -- including ODEs, PDEs and systems with discrete time -- have been introduced. These findings are based on certain c…