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A q-analog of the 5 F 4 (1) summation theorem for hypergeometric series well-poised in SU(n). (English) Zbl 0586.33010
As an application of a general q-difference equation for basic hypergeometric series well-poised in SU(n), an elementary proof is given of a q-analog of Holman’s SU(n) generalization of the terminating 5 F 4 (1) summation theorem. This provides an SU(n) generalization of the terminating 6 ψ 5 summation theorem for classical basic hypergeometric series.
MSC:
33C80Connections of hypergeometric functions with groups and algebras
33D05q-gamma functions, q-beta functions and integrals