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Description: |
We establish the correspondence between a non symmetric difference operator with complex coefficients and the evolution of an operator defined by a Lax pair. We study the solution of the discrete dynamical system, giving explicit expressions for the resolvent function associated with the solution of our integrable systems. The method of investigation is based on the evolutions of the moments.
We derive Lax equations related to Laguerre-Hahn orthogonal polynomials and study the deformations of the recurrence relation coefficients for orthogonal polynomials under a $t$-dependence on the coefficients of the Riccati differential equation for the related Stieltjes function.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Amílcar Branquinho (CMUC, Univ. Coimbra)
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Institution: |
CMUC, Univ. Coimbra
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Place: |
Sala 5.5
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| Research Groups: |
-Analysis
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See more:
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<Main>
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