K. Castillo

collaborators

3 papers

math.CA2026

Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures

K. Castillo, F. R. Rafaeli

We settle two conjectures of Gautschi on the degree dependence of the zeros of the Jacobi polynomials $P_{n}^{(α, β)}$ , $α, β > - 1$ , and obtain results substantially stronger than those…

math.CA2026

A proof of the SzegÅ conjecture on Jacobi extrema

K. Castillo

For Jacobi polynomials with parameters greater than $- 1/2$ , and with the relative extrema enumerated from the endpoint $x = 1$ , the normalised modulus at the $k$ th extremum of degree…

math.CA2026

Wendroff's theorem beyond consecutive degrees and related inverse spectral problems

K. Castillo, G. Gordillo-NÃºÃ±ez

A classical theorem of Wendroff shows that one may reconstructs a sequence of orthogonal polynomials on the real line from two non-constant polynomials of consecutive degrees whose…

Affine Scaling of Jacobi Zeros: Sharp Orderings Beyond Gautschi's Conjectures

A proof of the SzegÅ conjecture on Jacobi extrema

Wendroff's theorem beyond consecutive degrees and related inverse spectral problems

A proof of the SzegÅ conjecture on Jacobi extrema