Geodesic
Some expansions of hypergeometric functions in series of hypergeometric functions†
Glasgow mathematical journal, Tome 17 (1976) no. 1, pp. 17-21

Voir la notice de l'article provenant de la source Cambridge University Press

Throughout the present note we abbreviate the set of p parameters a1,...,ap by (ap), with similar interpretations for (bq), etc. Also, by [(ap)]m we mean the product , where [λ]m = Г(λ + m)/ Г(λ), and so on. One of the main results we give here is the expansion formula(1)which is valid, by analytic continuation, when, p,q,r,s,t and u are nonnegative integers such that p+r < q+s+l (or p+r = q+s+l and |zω| <1), p+t < q+u (or p + t = q + u and |z| < 1), and the various parameters including μ are so restricted that each side of equation (1) has a meaning. 
Srivastava, H. M.; Panda, Rekha. Some expansions of hypergeometric functions in series of hypergeometric functions†. Glasgow mathematical journal, Tome 17 (1976) no. 1, pp. 17-21. doi: 10.1017/S0017089500002664
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