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March  2017, 7(1): 41-52. doi: 10.3934/mcrf.2017003

## A discrete hierarchy of double bracket equations and a class of negative power series

 1 Instituto de Matemáticas, Facultad de Ciencias Exactas y Naturales, Universidad de Antioquia, Calle 67 No. 53 -108, Medellin, Colombia 2 Departamento de Ciencias Básicas, Universidad del Sinú, Cra 1w No. 38-153, Barrio Juan XXⅢ, Montería, Colombia

* Corresponding author:nancy.lopez@udea.edu.co

Received  October 2015 Revised  September 2016 Published  December 2016

Fund Project: The first author is supported by UdeA under SUI Project (Acta No.701,2015-03-11)

The space of negative power series of $z$ on $\{z\in \mathbb{C}:|z|>1\}$ can also be parametrized by means of a system of double bracket differential equations. To show this parametrization we introduce a group factorization for equation system. This work, for the case of a double bracket system, is a continuation of an earlier study discussed in The discrete KP hierarchy and the negative power series on the complex plane. Comp. and App. Math. 32 (2013), 483-493 for the case of one bracket system.

Citation: Nancy López Reyes, Luis E. Benítez Babilonia. A discrete hierarchy of double bracket equations and a class of negative power series. Mathematical Control & Related Fields, 2017, 7 (1) : 41-52. doi: 10.3934/mcrf.2017003
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