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Showing 2007 · math.CAShow all
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math.CA2007★ 1 cited
Choquet order for spectra of higher Lame operators and orthogonal polynomials
Julius Borcea
We establish a hierarchy of weighted majorization relations for the singularities of generalized Lamé equations and the zeros of their Van Vleck and Heine-Stieltjes polynomials as…
math.CA2007★ 13 cited
Root asymptotics of spectral polynomials for the Lame operator
Julius Borcea, Boris Shapiro
The study of polynomial solutions to the classical Lamé equation in its algebraic form, or equivalently, of double-periodic solutions of its Weierstrass form has a long history. Su…