The corresponding article has been published in Can. J. Math. 41 (1989), 743-768.

Christian Krattenthaler

q-analogue of a two variable inverse pair of series with applications to basic double hypergeometric series

Abstract. We give a q-analogue of the following inverse pair of two-variable formal power series: f0(z1, z2) = (z1/(1-z2), z2/(1-z1)) and F0(z1,z2) = (z1(1-z2)/(1-z1 z2), z2(1-z1)/(1-z1 z2)). We use our q-analogue to derive several double basic haypergeometric series summations and transformations, some of them being already known, most of them being new.

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