Published Online: Mar 31, 2018
Page range: 91 - 101
Received: Mar 28, 2017
Accepted: Sep 05, 2017
DOI: https://doi.org/10.2478/auom-2018-0005
Keywords
© 2018
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s)n,m(x)- convolutions of the polynomials hn,m(x), and the sequence of numbers h(s)n,m- convolutions of the numbers hn,m, where s ≥ 0.