GSoC 2026

issue 3

Asymptotic series expansions for modified bessel functions

Labels: series

The TODO from bessel.py says

# TODO
# o Scorer functions G1 and G2
# o Asymptotic expansions
#   These are possible, e.g. for fixed order, but since the bessel type
#   functions are oscillatory they are not actually tractable at
#   infinity, so this is not particularly useful right now.

So most bessel type functions like Hankel, Kelvin or even Spherical Bessel functions would fall under this category but modified bessel functions don't. Besseli grows exponentially whereas Besselk exponentially decays so we can have aseries implementations for these and also that would be in use for calculating limits through gruntz.

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