Orthogonal Polynomial Interpretation of q-Toda and q-Volterra Equations-Reference-Cited by-同舟云学术

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Orthogonal Polynomial Interpretation of q-Toda and q-Volterra Equations

Published:2016-02-13 Issue:1 Volume:41 Page:393-414
ISSN:0126-6705
Container-title:Bulletin of the Malaysian Mathematical Sciences Society
language:en
Short-container-title:Bull. Malays. Math. Sci. Soc.

Author:

Area I.,Branquinho A.,Moreno A. Foulquié,Godoy E.

Funder

Ministerio de Economía y Competitividad of Spain

Centro de Matemática da Universidade de Coimbra (CMUC), funded by the European Regional Development Fund

Portuguese Government

CIDMA-Center for Research and Development in Mathematics and Applications (University of Aveiro)

Portuguese Foundation for Science and Technology

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s40840-016-0305-7/fulltext.html

Reference23 articles.

1. Ablowitz, M.J., Ladik, J.F.: A nonlinear difference scheme and inverse scattering. Stud. Appl. Math. 55(3), 213–229 (1976)

2. Aptekarev, A., Branquinho, A.: Padé approximants and complex high order Toda lattices. J. Comput. Appl. Math. 155(2), 231–237 (2003)

3. Aptekarev, A.I., Branquinho, A., Marcellán, F.: Toda-type differential equations for the recurrence coefficients of orthogonal polynomials and Freud transformation. J. Comput. Appl. Math. 78(1), 139–160 (1997)

4. Area, I., Branquinho, A., Foulquié-Moreno, A., Godoy, E.: Orthogonal polynomial interpretation of $$\Delta $$ Δ -Toda equations. J. Phys. A Math. Theor., vol. 48. Article ID 405206 (2015)

5. Area, I., Branquinho, A., Foulquié-Moreno, A., Godoy, E.: Characterizations of $$\Delta $$ Δ -Volterra lattice: a symmetric orthogonal polynomials interpretation. J. Math. Anal. Appl. 433, 243–259 (2016)

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1. q-discretization of the Kostant–Toda equation and its asymptotic analysis;Transactions of Mathematics and Its Applications;2024-07-04

2. Matrix similarity transformations derived from extended q-analogues of the Toda equation and Lotka–Volterra system;Journal of Difference Equations and Applications;2023-05-04

3. The matrix Toda equations for coefficients of a matrix three-term recurrence relation;Operators and Matrices;2019

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