English

Convolutions of second order sequences: A direct approach

General Mathematics 2024-09-24 v1

Abstract

Using a direct algebraic approach we derive convolution identities for second order sequences, hereby distinguishing between sequences obeying the same or different recurrence relations. We also state a general convolution for Horadam sequences. Convolutions for Chebyshev polynomials will also be stated.

Keywords

Cite

@article{arxiv.2409.14358,
  title  = {Convolutions of second order sequences: A direct approach},
  author = {Kunle Adegoke and Segun Olofin Akerele and Robert Frontczak},
  journal= {arXiv preprint arXiv:2409.14358},
  year   = {2024}
}
R2 v1 2026-06-28T18:52:44.772Z