[RFC]: evaluate a Chebyshev polynomial of the first kind at a value `x`

[kgryte]

Checklist

Please ensure the following tasks are completed before filing an issue.

• Read and understood the Code of Conduct.
• Searched for existing issues and pull requests.
• If this is a general question, searched the FAQ for an existing answer.
• If this is a feature request, the issue name begins with RFC:.

Description

Description of the issue (or feature request).

Add support for evaluating a Chebyshev polynomial of the first kind at a value x.

Package: @stdlib/math/base/special/chebyshev-t-polynomial
Alias: base.chebyshevtpoly

Implementation should be straightforward, but depends on having an implementation of the Guass hypergeometric function hyp2f1.

Related Issues

Does this issue (or feature request) have any related issues?

No.

Questions

Any questions for reviewers?

No.

Other

Any other information relevant to this issue (or feature request)? This may include screenshots, references, stack traces, sample output, and/or implementation notes.

Reference implementations:

• SciPy
• SciPy
• Wolfram