Geodesic
Basic Double Series, Quadratic Transformations and Products of Basic Series
Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 499-513

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A basic double series is expressed in terms of two 5φ4 series which extends Bailey's transformation of an 8φ7 series into two 4φ3 's. From this formula we derive some quadratic transformations; one of them is a new q-analogue of a transformation due to Whipple. Product formulas as well as Gasper-Rahman's q-Clausen formula are also given as special cases.
DOI : 10.4153/CMB-1991-080-7
Mots-clés : 33A35, 33A99 
Nassrallah, Bassam. Basic Double Series, Quadratic Transformations and Products of Basic Series. Canadian mathematical bulletin, Tome 34 (1991) no. 4, pp. 499-513. doi: 10.4153/CMB-1991-080-7
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     title = {Basic {Double} {Series,} {Quadratic} {Transformations} and {Products} of {Basic} {Series}},
     journal = {Canadian mathematical bulletin},
     pages = {499--513},
     year = {1991},
     volume = {34},
     number = {4},
     doi = {10.4153/CMB-1991-080-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-080-7/}
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