On a Generalization of Incomplete Fibonacci Quaternions


Affiliations

  • School of Applied Sciences KIIT University, Department of Mathematics, Bhubaneswar, 751024, India
  • School of Applied Sciences, KIIT University, Department of Mathematics, 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

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