Series of Kummer function works only with the third variable.

Question

I am using Maple software to find the series of KummerU function (Kummer function of the second kind).

I found that series(KummerU(p,1/2,t),t) works as below, but series(KummerU(p,1/2,t),p) gives me the following error: Error in (series/fracpower) unable to compute series.

This is a follow up on this question link

Thanks

Answer 1

I do not think that you could have more than $$U\left(p,\frac{1}{2},t\right)=1+\sum_{n=1}^\infty\frac{U^{(n,0,0)}\left(0,\frac{1}{2},t\right)}{n!} p^n$$ except if $t=0$.