Question: connection formulas for hypergeometric functions


I'm wondering which connection formulas maple has access to?

For instance consider the following exmple


hypergeom([a, b], [c], 1);

`assuming`([convert(%, GAMMA)], [c-a-b > 0])


it should be simplified to GAMMA functions, but I do not get maple to do it. Are there packages for this?


Same for higher functions pFq for example

hypergeom([1, 1, 2*q-2+L], [2, L+1], 1)

under appropriate assumptions.

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