By means of the transformations of Sears and Watson about the terminating balanced $_4\phi_3$-series, we investigate the two terminating $q$-Kamp\é de F\ériet series $\Phi^{1:3;\lam}_{1:2;\mu}$ and $\Phi^{2:2;\lam}_{2:1;\mu}$. Several reduction and summation formulae are established. They extend the corresponding known results about the double $q$-Clausen series.
Terminating $q$-Kamp{\'e} de F{\'e}riet Series $\Phi^{1:3;\lam}_{1:2;\mu}$ and $\Phi^{2:2;\lam}_{2:1;\mu}$
CHU, Wenchang;
2012-01-01
Abstract
By means of the transformations of Sears and Watson about the terminating balanced $_4\phi_3$-series, we investigate the two terminating $q$-Kamp\é de F\ériet series $\Phi^{1:3;\lam}_{1:2;\mu}$ and $\Phi^{2:2;\lam}_{2:1;\mu}$. Several reduction and summation formulae are established. They extend the corresponding known results about the double $q$-Clausen series.File in questo prodotto:
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