Bi-Periodic Balancing Quaternions

Authors : Emre SEVGİ, Dursun TAŞÇI

Pages : 68-75

Doi:10.47000/tjmcs.701638

View : 13 | Download : 6

Publication Date : 2020-12-31

Article Type : Research Paper

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