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
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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.
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
@article{10_1017_S0017089509990322,
author = {JIA, CANGZHI and ZHANG, XIANGDE},
title = {TRANSFORMATION {AND} {REDUCTION} {FORMULAE} {FOR} {DOUBLE} {q-SERIES} {OF} {TYPE} {\ensuremath{\Phi}2:1;\ensuremath{\lambda}2:0;\ensuremath{\mu}}},
journal = {Glasgow mathematical journal},
pages = {195--204},
year = {2010},
volume = {52},
number = {1},
doi = {10.1017/S0017089509990322},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990322/}
}
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%0 Journal Article %A JIA, CANGZHI %A ZHANG, XIANGDE %T TRANSFORMATION AND REDUCTION FORMULAE FOR DOUBLE q-SERIES OF TYPE Φ2:1;λ2:0;μ %J Glasgow mathematical journal %D 2010 %P 195-204 %V 52 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509990322/ %R 10.1017/S0017089509990322 %F 10_1017_S0017089509990322
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