Geodesic
A Transformation Connecting Products of Generalised Basic Hypergeometric Functions
Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 241-248

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

Darling [2] in 1932 gave two types (equations 11 and 18) of transformations connecting generalised hyper geometric functions. The first was studied by Bailey [1] and extended by Sears [4] to a transformation connecting products of basic hyper geometric functions of the type r+1φr × r+1φr. In a number of papers [6, 7, 8] the author has extended these results to both unilateral and bilateral series with bases q and q1/2. The second type of transformation by Darling for a product 0F1 × 3F2 was extended by Bailey [1] to a transformation between 1F0 × r+1Fr. In the same paper Bailey mentioned the transformation of a 0φ1 × 3φ2 without proof. 
Verma, Arun. A Transformation Connecting Products of Generalised Basic Hypergeometric Functions. Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 241-248. doi: 10.4153/CMB-1968-028-1
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[1] 1. Bailey, W.N., On certain relations between hyper geometric series of higher order. Jour. London Math. Soc. 8 (1933), 100-107. Google Scholar

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