The Journal of the Indian Mathematical Society

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On a Generalization of Incomplete Fibonacci Quaternions


Affiliations
1 Department of Mathematics, School of Applied Sciences KIIT, University, Bhubaneswar-751024, India
2 Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, India
     

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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.

Keywords

Quaternion, Horadam numbers, Incomplete Horadam numbers, Incomplete Fibonacci quaternions
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  • 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, India
Narmada Behera
Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar-751024, India

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.

Keywords


Quaternion, Horadam numbers, Incomplete Horadam numbers, Incomplete Fibonacci quaternions

References





DOI: https://doi.org/10.18311/jims%2F2021%2F25549