# American Institute of Mathematical Sciences

December  2019, 6(2): 199-222. doi: 10.3934/jcd.2019010

## Algebraic structure of aromatic B-series

 Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway

Received  April 2019 Revised  September 2019 Published  November 2019

Aromatic B-series are a generalization of B-series. Some of the algebraic structures on B-series can be defined analogically for aromatic B-series. This paper derives combinatorial formulas for the composition and substitution laws for aromatic B-series.

Citation: Geir Bogfjellmo. Algebraic structure of aromatic B-series. Journal of Computational Dynamics, 2019, 6 (2) : 199-222. doi: 10.3934/jcd.2019010
##### References:

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##### References:
The coproduct $\Delta_{\mathcal{AT}}$
Substitution law (1 root)
Substitution law (0 roots)
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