I have to come up with methods by which an arm could regenerate from the elbow down and I just need some suggestions into pathways that could work in humans to result in limb regeneration so that I can do further research into it.
I think you are looking for the holy grail right away, but is a fun question. You're searching for a fine-tuned molecular biology method to mimic the organogenesis and later to achieve an optimal development stage. Thus, in terms of material, you would need (possibly) cell culture, transfections kit, animal model (mammal and other capable of regeneration) to maybe achieve to generate some blastema-like cells for mammals (of course, along with several test, attempts, basic research materials, high-throughput experiments, etc.).
That is much easier to talk than to do, of course, but it is exciting to think about it.
This link may help you with some insight: http://sitn.hms.harvard.edu/flash/2018/regeneration-axolotl-can-teach-us-regrowing-human-limbs/
before any organogenesis takes place, you need cells to partially de-differentiate and acquire developmental plasticity, restricted to limb (not bone or hair) formation. Review the mechanisms of blastema formation and review the process of dedifferentiation, which takes place during iPSC and ntr (nuclear transfer), but not all the way, only partial de-differentiation is needed. In humans these pathways may be blocked because of evolutionary concern for tumorigenesis (as another side of a coin, so to say, for de-differentiation). In short-living species this may be less of concern.