Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...
Let p be prime and let GF(p) be the finite field with p elements. In this note we investigate the arithmetic properties of the Gaussian hypergeometric functions ...
The second Appell's hypergeometric function F₂(a, b, b', c, c'; x, y) has a Mellin convolution integral representation in the region ℛ(x+y) <1 and a > 0. We apply a recently introduced asymptotic ...
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