The generalised hypergeometric function is of the form:
$$_{p}F_{q}(a_{1},...,a_{p};b_{1},...,b_{q};x)$$
This is also represented as a hypergeometric series.
How was this function derived?
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Do you know first the way Gauss derived the "historical" hypergeometric function ? – Jean Marie Nov 24 '16 at 11:19
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1If was derived means how to compute the derivative $\frac{d}{dx}$ see http://dlmf.nist.gov/16.3 – gammatester Nov 24 '16 at 11:26