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2024 | OriginalPaper | Chapter

Elliptic Biquaternionic Sequence with Vietoris’ Numbers as Its Components

Authors : Regina de Almeida, Paula Catarino

Published in: Mathematical Methods for Engineering Applications

Publisher: Springer Nature Switzerland

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Abstract

In this study, we introduce an elliptic biquaternionic sequence with Vietoris’ numbers as its components and discuss some of its properties. Also, the generating function and some identities in terms of elliptic biquaternionic sequence with Vietoris’ numbers are given. Furthermore, the construction of this elliptic biquaternion sequence is presented using matrices that generate the quaternionic sequence where the components are Vietoris’ number, and also by applying the determinant to a special kind of matrices.

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Title: Elliptic Biquaternionic Sequence with Vietoris’ Numbers as Its Components
Authors: Regina de Almeida
Paula Catarino
Publisher: Springer Nature Switzerland
Book: Mathematical Methods for Engineering Applications
Print ISBN: 978-3-031-49217-4

Electronic ISBN: 978-3-031-49218-1

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-49218-1_10

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