25 citations · 83 across the 21 of their papers we have counts for
25 papers
Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials
Oksana Bihun, Kathy Driver
Let and , be two sets of real, distinct points satisfying the interlacing prope…
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…
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…
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…
The Chazy XII Equation and Schwarz Triangle Functions
Oksana Bihun, Sarbarish Chakravarty
Dubrovin [Lecture Notes in Math., Vol. 1620, Springer, Berlin, 1996, 120-348] showed that the Chazy XII equation , , is equivale…
Polynomials Whose Coefficients Coincide with Their Zeros
Oksana Bihun, Damiano Fulghesu
In this paper we consider monic polynomials such that their coefficients coincide with their zeros. These polynomials were first introduced by S. Ulam. We combine methods of algebr…