Hey, Caleb, since you've talked about Fractional calculus, and indefinite sums, I reference this paper by me from a long time ago!
https://arxiv.org/abs/1503.06211
This is about fractional calculus approaches to indefinite sums! I think you will find it very similar to what you are talking about here
. Please don't mind the language, and the rough nature. This was the first paper I ever wrote; part of an undergrad thesis on Fractional Calculus.
https://arxiv.org/abs/1503.06211
This is about fractional calculus approaches to indefinite sums! I think you will find it very similar to what you are talking about here
. Please don't mind the language, and the rough nature. This was the first paper I ever wrote; part of an undergrad thesis on Fractional Calculus.