On a Generalization of Incomplete Fibonacci Quaternions

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Authors

  • Bijan Kumar Patel
     Department of Mathematics, School of Applied Sciences KIIT, University, Bhubaneswar-751024 ,IN ORCID logo http://orcid.org/0000-0001-7637-8489
  • Narmada Behera
     Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024 ,IN

DOI:

https://doi.org/10.18311/jims/2021/25549

Keywords:

Quaternion, Horadam numbers, Incomplete Horadam numbers, Incomplete Fibonacci quaternions
Primary 11B39, 05A15, Secondary 11R52

Abstract

The aim of this article is to introduce a new class of quater- nions, namely, incomplete Horadam quaternions that are based on in- complete Horadam numbers which generalize the previously introduced incomplete Fibonacci and Lucas quaternions. Further, some identities including summation formulas and generating functions concerning these quaternions are also established.

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Published

2021-06-14

How to Cite

Kumar Patel, B., & Behera, N. (2021). On a Generalization of Incomplete Fibonacci Quaternions. The Journal of the Indian Mathematical Society, 88(3-4), 346–354. https://doi.org/10.18311/jims/2021/25549

Issue

Volume 88, Issue 3-4, July-December 2021

Section

Articles

License

Copyright (c) 2021 Bijan Kumar Patel, Narmada Behera

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-06-23
Accepted 2023-01-30
Published 2021-06-14

 

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