Shuffle Product of Generating Series

@article{Rotella1991ShufflePO,
  title={Shuffle Product of Generating Series},
  author={F. Rotella},
  journal={Theor. Comput. Sci.},
  year={1991},
  volume={79},
  pages={257-261}
}
Rotella, F., Shuffle product of generating series, Theoretical Computer Science 79 ( 1991) 257-261. In this note, we give a short proof of the explicit and recurrent construction of the shuffle product of two noncommutative formal power serIfis This construction is simply expressed in terms of linear matrix algebra.