Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/21862
Title: | Orthogonal polynomial interpretation of q-Toda and q-Volterra equations |
Author: | Área, Ivan Branquinho, Amílcar Godoy, Eduardo Moreno, Ana Foulquié |
Keywords: | q-Difference equations Recurrence relations Orthogonal polynomials q-Toda equations q-Volterra equations Lax type theorems |
Issue Date: | Jan-2018 |
Publisher: | Springer Singapore |
Abstract: | The correspondences between dynamics of q-Toda and q-Volterra equations for the coefficients of the Jacobi operator and its resolvent function are established. The orthogonal polynomials associated with these Jacobi operators satisfy an Appell condition, with respect to the q-difference operator Dq . Lax type theorems for the point spectrum of the Jacobi operators associated with these equations are obtained. Examples related with the big q-Legendre, discrete q-Hermite I, and little q-Laguerre orthogonal polynomials and q-Toda and q-Volterra equations are given. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/21862 |
DOI: | 10.1007/s40840-016-0305-7 |
ISSN: | 0126-6705 |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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q_toda_volterra.pdf | 343.7 kB | Adobe PDF | View/Open |
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