<abstract xmlns="http://www.w3.org/1999/xhtml"> 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. </abstract>

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.

Generalized Horadam Polynomials and Numbers

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Generalized Horadam Polynomials and Numbers"}

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,...

Generalized Horadam Polynomials and Numbers

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
Generalized Horadam polynomials and numbers, Convolution, Recurrence relation, Explicit representation, Generating function

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Generalized Horadam Polynomials and Numbers

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

KeywordsGeneralized Horadam polynomials and numbers, Convolution, Recurrence relation, Explicit representation, Generating function

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Generalized Horadam polynomials and numbers, Convolution, Recurrence relation, Explicit representation, Generating function