A structure theorem on ^-analogues of ό-functions is stated.Basic properties for Jackson integrals of associated ^-multiplicative functions are given.Finiteness of cohomology group attached to them is proved for arrangement of ,4-type root system.Some problems about the derived ^-difference systems are posed.An example of basic hypergeometric functions are given.
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Kazuhiko Aomoto (1991) studied this question.
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