Bicomplex k-Pell Quaternions
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Data
2019-03
Autores
Catarino, Paula
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Resumo
The aim of this work is to consider the bicomplex k-Pell quaternions and to present some properties involving this sequence, including the Binet-style formulae and the generating functions. Furthermore, Cassini’s identity, Catalan’s identity, and d’Ocagne’s identity for this type of bicomplex quaternions are given, and a different way to find the nth term of this sequence is stated using the determinant of a tridiagonal matrix whose entries are bicomplex k-Pell quaternions.
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Bicomplex number , k-Pell number , k-Pell quaternion , Bicomplex quaternion; Bicomplex k-Pell quaternion
Citação
Catarino, P. Comput. Methods Funct. Theory (2019) 19: 65. https://doi.org/10.1007/s40315-018-0251-5