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In this work we apply Riemann-Hilbert problem to study two families of orthogonal polynomials on the unit circle, named of modified Jacobi and Bessel. We derive first and second order differential equations, for these families of orthogonal polynomia
Externí odkaz:
http://arxiv.org/abs/2406.07290
Publikováno v:
Journal of Approximation Theory, v. 295, 2023, 105957
We consider orthogonal polynomials on the unit circle associated with certain semi-classical weight functions. This means that the Pearson-type differential equations satisfied by these weight functions involve two polynomials of degree at most 2. We
Externí odkaz:
http://arxiv.org/abs/2303.16182
Autor:
Rampazzi, Karina Seviero
Publikováno v:
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::27bcbf711212398c135132f48e49d1cf