Abstract

It is tempting to evaluate F 2 ( x , 1 ) and similar univariate specializations of Appell's functions by evaluating the apparent power series at x = 0 straight away using the Gauss formula for 2F 1(1). But this kind of naive evaluation can lead to errors as the 2F 1(1) coefficients might eventually diverge; then the actual power series at x = 0 might involve branching terms. This paper demonstrates these complications by concrete examples.

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