O. Bihun

activity

20062019

most citedGenerations of monic polynomials such that the coefficients of the polynomials of the next generation coincide with the zeros of the polynomials of the current generation, and new solvable many-body problems

25 citations · 83 across the 21 of their papers we have counts for

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Showing 2017 · math.CAShow all

3 papers · 2 filters

math.CA2017★ 2 cited

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 $y^{'''} - 2 y y^{''} + 3 y^{'2} = K (6 y^{'} - y^{2})^{2}$ , $K \in C$ , is equivale…

math.CA2017

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…

math.CA2017

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…