> > But sympy can not do it. (I don't remember where I encountered
> > these G functions but they arose from a computation within sympy.)
> >
> > What should we add to be able to simplify this expression?
> 
> I don't know. In general, we are not good at simplifying sums of 
> hypergeometric/meijerg functions (that is, there is no code for it).

There is some symmetry in here. Maybe one could simplify the G
iff it is possible to combine them according to this symmetry.

Anyway, is there a good ansatz for simplifying such stuff?

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