Jairo S. Silva

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math.CA2016

Extended relativistic Toda lattice, L-orthogonal polynomials and associated Lax pair

Cleonice F. Bracciali, Jairo S. Silva, A. Sri Ranga

When a measure $ψ (x)$ on the real line is subjected to the modification $d ψ^{(t)} (x) = e^{- t x} d ψ (x)$ , then the coefficients of the recurrence relation of the orthogonal polynomia…

math.CA2016

Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences

Cleonice F. Bracciali, Jairo S. Silva, A. Sri Ranga +1

It was shown recently that associated with a pair of real sequences ${{c_{n}}_{n = 1}^{\infty}, {d_{n}}_{n = 1}^{\infty}}$ , with ${d_{n}}_{n = 1}^{\infty}$ a positive chain seque…