On some combinatorial properties of bihyperbolic numbers of the Fibonacci type
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7054
Abstract: In this paper, we give some properties of the bihyperbolic Fibonacci, Jacobsthal and Pell numbers, among others the Binet formula, Catalan, Cassini, and d'Ocagne identities. Moreover, we present the generating function and summation formulas for… read more here.
Keywords: bihyperbolic numbers; numbers fibonacci; fibonacci type; properties bihyperbolic ... See more keywords
On the Solutions of Quaternion Difference Equations in Terms of Generalized Fibonacci-Type Numbers
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14102190
Abstract: The aim of this paper is to investigate the solution of the following difference equation zn+1=(pn)−1,n∈N0,N0=N∪0 where pn=a+bzn+czn−1zn with the parameters a, b, c and the initial values z−1,z0 are nonzero quaternions such that their… read more here.
Keywords: difference equations; fibonacci type; type numbers; generalized fibonacci ... See more keywords