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Integration of product of 3 MeijerG functions


A ? on integration of a function with product of 3 MeijerG functions.
THe integral:
Integrate(0,Infinity) t^a*MeijerG(t)*MeijerG(t)*MeijerG(t),
a = constant, and the 3 MeijerG's are appropriately defined.

Under what conditions does the answer to this integral exist.
Though Wolfram website gives a formula for the answer, it does not
give the conditions under which it is valid. Any suggestions in this
regard?
also, mathematica does not solve the integral. any ideas whether this
has been incorporated into mathematica yet or not?

Thanks


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