FINITENESS OF A COHOMOLOGY ASSOCIATED WITH CERTAIN JACKSON INTEGRALS

Abstract

A structure theorem on q-analogues of b-functions is stated. Basic properties for Jackson integrals of associated q-multiplicative functions are given. Finiteness of cohomology group attached to them is proved for arrangement of A-type root system. Some problems about the derived q-difference systems are posed. An example of basic hypergeometric functions are given.