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20232025
most citedOn semi-classical weight functions on the unit circle

2 citations · 2 across the 3 of their papers we have counts for

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math.CA2025

Differential equations for a class of semiclassical orthogonal polynomials on the unit circle

Cleonice F. Bracciali, Karina S. Rampazzi, Luana L. Silva Ribeiro

We consider semiclassical orthogonal polynomials on the unit circle associated with a weight function that satisfy a Pearson-type differential equation involving two polynomials of…

math.CA2024

Generalized semiclassical orthogonal polynomials on the unit circle: A Riemann-Hilbert perspective

Amílcar Branquinho, Ana Foulquié-Moreno, Karina Rampazzi

In this work we show how to get advantage from the Riemann--Hilbert analysis in order to obtain first and second order differential equations for the orthogonal polynomials and ass…