Generalized Horadam Polynomials and Numbers

Snezana S. Djordjevic; Gospava B. Djordjevic

doi:10.2478/auom-2018-0005

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Generalized Horadam Polynomials and Numbers

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 26 (2018): Issue 1 (March 2018)

By: Snezana S. Djordjevic and Gospava B. Djordjevic

Open Access

|Mar 2018

Abstract

We consider the polynomials h_n,m(x) (m ≥ 2) and the numbers h_n,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 h_n,m(x), and the sequence of numbers h^(s)_n,m- convolutions of the numbers h_n,m, where s ≥ 0.

References

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2018-0005 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 91 - 101

Submitted on: Mar 28, 2017

Accepted on: Sep 5, 2017

Published on: Mar 31, 2018

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Generalized Horadam polynomials and numbers,

Convolution,

Recurrence relation,

Explicit representation,

Generating function

Related subjects:

Mathematics,

General mathematics

© 2018 Snezana S. Djordjevic, Gospava B. Djordjevic, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 26 (2018): Issue 1 (March 2018)