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On generalization for Tribonacci Trigintaduonions

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Abstract

The trigintaduonions form a 32-dimensional Cayley–Dickson algebra. In this paper, we intend to make a new approach to introduce the concept of generalized Tribonacci trigintaduonions instead of and study some properties of this trigintaduonions like Binet’s formula, generating function, summation formula, norm value and matrix formulation.

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Acknowledgements

The authors would like to thank the referees for their valuable suggestions which improve the presentation of the paper. The corresponding author thanks the Council of Scientific and Industrial Research (CSIR), India for partial support under Grant No. 25(0288)/18/EMR-II, dated 24/05/2018.

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Authors and Affiliations

  1. School of Mathematics, Shri Mata Vaishno Devi University, Katra, J&K, 182320, India

    Kavita Saini & Kuldip Raj

Authors
  1. Kavita Saini
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  2. Kuldip Raj
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Correspondence to Kuldip Raj.

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Communicated by Jaydeb Sarkar.

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Saini, K., Raj, K. On generalization for Tribonacci Trigintaduonions. Indian J Pure Appl Math 52, 420–428 (2021). https://doi.org/10.1007/s13226-021-00067-y

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  • DOI: https://doi.org/10.1007/s13226-021-00067-y

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