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.
Bi-periodic balancing numbers Binet formula Generating function Cassini identity Catalan identity
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | December 31, 2020 |
Published in Issue | Year 2020 Volume: 12 Issue: 2 |