Geodesic
On the Reducibility of Appelles Function F4 *
Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 215-222

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It is a well-known fact in the theory of Appell's hypergeometric function of two variables F4, defined by 1 where |x|1/2 + |y|1/2 < 1, that it can be expressed interms of products of ordinary hypergeometric functions when γ + γ' = α + β + 1. 
Saxena, R.K. On the Reducibility of Appelles Function F4 *. Canadian mathematical bulletin, Tome 9 (1966) no. 2, pp. 215-222. doi: 10.4153/CMB-1966-029-8
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     title = {On the {Reducibility} of {Appelles} {Function} {F4} *},
     journal = {Canadian mathematical bulletin},
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     year = {1966},
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     number = {2},
     doi = {10.4153/CMB-1966-029-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-029-8/}
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