Bi-Periodic Balancing Quaternions

Year 2020, Volume: 12 Issue: 2, 68 - 75, 31.12.2020

Emre Sevgi , Dursun Taşçı

https://doi.org/10.47000/tjmcs.701638

Cited By: 2

Abstract

In this paper, we first define the bi-periodic balancing numbers and quaternions. We give the generating function
and Binet formula for this quaternion. Then, we obtain some identities and properties including this quaternion.

Keywords

Bi-periodic balancing numbers, Binet formula, Generating function, Cassini identity, Catalan identity

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