*Goal*-- implement functions such as Artin-Hasse exponential and p-adic gamma function that exist in Magma.*Type*-- basic features*Priority*-- Low*Difficulty*-- Medium*Prerequisites*--*Background*--*Contributors*-- Mitchell Owen*Progress*-- Artin-Hasse mostly done, gamma function in progress*Related Tickets*-- #12560

## Discussion

## Tasks

implement Artin-Hasse exponential: patch submitted needs doctests that verify that it *is* the AHE implemented an argument m that gives you exp(x+...+x^{(p}m)/p^m) locally; need to add to patch should add normalization to extend to closed unit disc

implement p-adic gamma function: speed-ups finished; need to fix segfaults need to do speed tests and comparisons with MAGMA/PARI implementations