Regularized Kumer Functions?

[Li-shiyue]

Can I define a Regularized Kumer Hypergeometric Functions by SpecialFunctions.jl??

[MartinMikkelsen]

Not sure what you are looking for but if you are looking for Kummer's function, also given by the confluent hypergeometric function of the first kind, given by

$${}_1 F_1(a,b,z) = \sum_{k=0}^{\infty} \frac{(a)_k z^k}{(b)_k k!},$$

you might want to look at either HypergeometricFunctions.jl for a general implementation or FewSpecialFunctions.jl for ${}_1 F_1(a,b,z)$. If you want to implement your own function with some regularization you can look at the numerical implementation used here