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A note on some Chebyshev related integer sequences

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2022
KNJIGA_APSTRAKATA_2022.pdf (250.7Kb)
Authors
Pucanović, Zoran
Pešović, Marko
Conference object (Published version)
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Abstract
We will present some results on r-circulant matrices whose entries are the Chebyshev polynomials of the first and second kind as well as close connections between the Chebyshev polynomials of the first and second kind and some well-known integer sequences. Using these connections we will apply the obtained results to r-circulant matrices involving various integer sequences. It will turn out that our results on the spectral norm bounds on such matrices are notably better than the previous ones.
Keywords:
Chebyshev polynomials / circulant matrices / integer sequences
Source:
Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu, 2022
[ Google Scholar ]
Handle
https://hdl.handle.net/21.15107/rcub_grafar_2821
URI
https://grafar.grf.bg.ac.rs/handle/123456789/2821
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
Institution/Community
GraFar
TY  - CONF
AU  - Pucanović, Zoran
AU  - Pešović, Marko
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2821
AB  - We will present some results on r-circulant matrices whose entries are the Chebyshev polynomials
of the first and second kind as well as close connections between the Chebyshev polynomials of the first and second kind and some well-known integer sequences. Using these connections we will apply the obtained results to r-circulant matrices involving various integer sequences. It will turn out that our results on the spectral norm bounds on such matrices are notably better than the previous ones.
C3  - Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu
T1  - A note on some Chebyshev related integer sequences
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2821
ER  - 
@conference{
author = "Pucanović, Zoran and Pešović, Marko",
year = "2022",
abstract = "We will present some results on r-circulant matrices whose entries are the Chebyshev polynomials
of the first and second kind as well as close connections between the Chebyshev polynomials of the first and second kind and some well-known integer sequences. Using these connections we will apply the obtained results to r-circulant matrices involving various integer sequences. It will turn out that our results on the spectral norm bounds on such matrices are notably better than the previous ones.",
journal = "Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu",
title = "A note on some Chebyshev related integer sequences",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2821"
}
Pucanović, Z.,& Pešović, M.. (2022). A note on some Chebyshev related integer sequences. in Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu.
https://hdl.handle.net/21.15107/rcub_grafar_2821
Pucanović Z, Pešović M. A note on some Chebyshev related integer sequences. in Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu. 2022;.
https://hdl.handle.net/21.15107/rcub_grafar_2821 .
Pucanović, Zoran, Pešović, Marko, "A note on some Chebyshev related integer sequences" in Simpozijum MATEMATIKA I PRIMENE, Matematički fakultet, Univerzitet u Beogradu (2022),
https://hdl.handle.net/21.15107/rcub_grafar_2821 .

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