[Development] Add impulse method to rfunc classes and improve docs

[raoulcollenteur]

Describe the proposed feature

@mbakker7 proposed to implement an impulse method for all rfuncs classes, and started implementing this. I create this Issue to record this progress and new feature development.

Additionally, It would perhaps be an idea to add the latex formula to a repr function, such that printing the class would show thee impulse response function and keep everything in one place.

Expected usage

ps.Gamma().impulse()

Additional context

The reason for this change is that it is now not always entirely clear what the impulse response functions exactly is and how it looks from the code and related articles. It should be clear what

1. the impulse and step response functions are from the code,
2. and somewhere in the documentation.

[martinvonk]

Maybe we could use latexify?

This way we can check the formula's easily like this:

Not sure if it works with NumPy though.

[mbakker7]

That is a nice feature that I didn't know about. Not sure it will work well with our format (parameter passing, etc).

…

On Tue, Jan 10, 2023 at 11:29 AM Martin Vonk ***@***.***> wrote: Maybe we could use latexify <https://github.com/google/latexify_py>? This way we can check the formula's easily like this: [image: image] <https://user-images.githubusercontent.com/66305055/211527020-94ae0ecd-62a9-404a-9e98-1c6f308b5c64.png> — Reply to this email directly, view it on GitHub <#453 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AAKM3SCI2Z47JRAXEJPOAYLWRU2YTANCNFSM6AAAAAATWRQP3M> . You are receiving this because you were assigned.Message ID: ***@***.***>

[raoulcollenteur]

This feature was aded in #472, closing issue.