A note on h(x) − Fibonacci quaternion polynomials

By Paula Maria Machado Cruz Catarino. 2015

47 citations recorded by the source corpus.

Abstract In this paper, we introduce h(x) − Fibonacci quaternion polynomials that generalize the k − Fibonacci quaternion numbers, which in their turn are a generalization of the Fibonacci quaternion numbers. We also present a Binet-style formula, ordinary generating function and some basic identities for the h(x) − Fibonacci quaternion polynomial sequences.

Subfields: Mathematical Physics, Molecular Biology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6788f435ea434404fe23cc95d69fbe456595b5e3