TRANSFORMATION AND REDUCTION FORMULAE FOR DOUBLE q-SERIES OF TYPE Φ2:1;λ2:0;μ
Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 195-204

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

By applying the Sears non-terminating transformations, we establish four general transformation theorems for double basic hypergeometric series of type Φ2:1;λ2:0;μ. Moreover, several transformation, reduction and summation formulae on the double basic hypergeometric series Φ2:1;22:0;1, Φ2:1;32:0;2 and Φ2:1;42:0;3 are also derived through parameter specialisation.
DOI : 10.1017/S0017089509990322
Mots-clés : Primary, 33D15, secondary, 05A30
JIA, CANGZHI; ZHANG, XIANGDE. TRANSFORMATION AND REDUCTION FORMULAE FOR DOUBLE q-SERIES OF TYPE Φ2:1;λ2:0;μ. Glasgow mathematical journal, Tome 52 (2010) no. 1, pp. 195-204. doi: 10.1017/S0017089509990322
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