25 citations · 83 across the 21 of their papers we have counts for
7 papers · 1 filter
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…
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…
Generalized Pseudospectral Method and Zeros of Orthogonal Polynomials
Oksana Bihun, Clark Mourning
Via a generalization of the pseudospectral method for numerical solution of differential equations, a family of nonlinear algebraic identities satisfied by the zeros of a wide clas…
New Properties of the Zeros of Krall Polynomials
Oksana Bihun
We identify a class of remarkable algebraic relations satisfied by the zeros of the Krall orthogonal polynomials that are eigenfunctions of linear differential operators of order h…
Properties of the zeros of the polynomials belonging to the Askey scheme
Oksana Bihun, Francesco Calogero
In this paper we provide properties---which are, to the best of our knowledge, new---of the zeros of the polynomials belonging to the Askey scheme. These findings include Diophanti…