Shifted generalized pascal matrices in the context of clifford algebra-valued polynomial sequences

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Abstract

The paper shows the role of shifted generalized Pascal matrices in a matrix representation of hypercomplex orthogonal Appell systems. It extends results obtained in previous works in the context of Appell sequences whose first term is a real constant to sequences whose initial term is a suitable chosen polynomial of n variables.

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Cação, I., Malonek, H. R., & Tomaz, G. (2017). Shifted generalized pascal matrices in the context of clifford algebra-valued polynomial sequences. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10405, pp. 409–421). Springer Verlag. https://doi.org/10.1007/978-3-319-62395-5_28

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