https://arxiv.org/abs/2203.10955

Skip to main content
Cornell University
We gratefully acknowledge support from the Simons Foundation, member
institutions, and all contributors. Donate
 
arxiv logo > math > arXiv:2203.10955
[                    ]

Help | Advanced Search

[All fields        ]
Search
arXiv logo
Cornell University Logo
[                    ] GO
quick links

  * Login
  * Help Pages
  * About

Mathematics > History and Overview

arXiv:2203.10955 (math)
[Submitted on 18 Mar 2022 (v1), last revised 5 Apr 2022 (this
version, v2)]

Title:Chebyshev polynomials in the 16th century

Authors:Walter Van Assche
View a PDF of the paper titled Chebyshev polynomials in the 16th
century, by Walter Van Assche
View PDF

    Abstract:We give a few examples of Chebyshev polynomials that
    appeared in mathematical problems from the 16th and 17th century.
    The main example is the famous equation of Adrianus Romanus
    (Adriaan van Roomen) containing a polynomial of degree $45$.

Comments:          16 pages, 4 figures
Subjects:          History and Overview (math.HO); Classical Analysis
                   and ODEs (math.CA)
MSC classes:       33-03, 33C45, 01A40
Cite as:           arXiv:2203.10955 [math.HO]
                   (or arXiv:2203.10955v2 [math.HO] for this version)
                   https://doi.org/10.48550/arXiv.2203.10955
                   Focus to learn more
                   arXiv-issued DOI via DataCite
Journal reference: J. Approx. Theory 279 (2022), 105767
                   https://doi.org/10.1016/j.jat.2022.105767
Related DOI:       Focus to learn more
                   DOI(s) linking to related resources

Submission history

From: Walter Van Assche [view email]
[v1] Fri, 18 Mar 2022 13:16:30 UTC (3,955 KB)
[v2] Tue, 5 Apr 2022 11:26:11 UTC (3,955 KB)
Full-text links:

Access Paper:

    View a PDF of the paper titled Chebyshev polynomials in the 16th
    century, by Walter Van Assche
  * View PDF
  * TeX Source
  * Other Formats

view license
Current browse context:
math.HO
< prev   |   next >
new | recent | 2022-03
Change to browse by:
math
math.CA

References & Citations

  * NASA ADS
  * Google Scholar
  * Semantic Scholar

a export BibTeX citation Loading...

BibTeX formatted citation

x
[loading...          ]
Data provided by:

Bookmark

BibSonomy logo Reddit logo
(*) Bibliographic Tools

Bibliographic and Citation Tools

[ ] Bibliographic Explorer Toggle
Bibliographic Explorer (What is the Explorer?)
[ ] Connected Papers Toggle
Connected Papers (What is Connected Papers?)
[ ] Litmaps Toggle
Litmaps (What is Litmaps?)
[ ] scite.ai Toggle
scite Smart Citations (What are Smart Citations?)
( ) Code, Data, Media

Code, Data and Media Associated with this Article

[ ] alphaXiv Toggle
alphaXiv (What is alphaXiv?)
[ ] Links to Code Toggle
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
[ ] DagsHub Toggle
DagsHub (What is DagsHub?)
[ ] GotitPub Toggle
Gotit.pub (What is GotitPub?)
[ ] Huggingface Toggle
Hugging Face (What is Huggingface?)
[ ] Links to Code Toggle
Papers with Code (What is Papers with Code?)
[ ] ScienceCast Toggle
ScienceCast (What is ScienceCast?)
( ) Demos

Demos

[ ] Replicate Toggle
Replicate (What is Replicate?)
[ ] Spaces Toggle
Hugging Face Spaces (What is Spaces?)
[ ] Spaces Toggle
TXYZ.AI (What is TXYZ.AI?)
( ) Related Papers

Recommenders and Search Tools

[ ] Link to Influence Flower
Influence Flower (What are Influence Flowers?)
[ ] Core recommender toggle
CORE Recommender (What is CORE?)

  * Author
  * Venue
  * Institution
  * Topic

( ) About arXivLabs

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and
share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have
embraced and accepted our values of openness, community, excellence,
and user data privacy. arXiv is committed to these values and only
works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community?
Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is
MathJax?)

  * About
  * Help

  * Click here to contact arXiv Contact
  * Click here to subscribe Subscribe

  * Copyright
  * Privacy Policy

  * Web Accessibility Assistance
  * arXiv Operational Status
    Get status notifications via email or slack