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On the structure of Jackson integrals of BCnBC_n type and holonomic qq-difference equations

Kazuhiko Aomoto, Masahiko Ito

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Source: Crossref

Published: Nov 1, 2005

DOI: 10.3792/pjaa.81.145

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Source abstract

Finiteness of non-symmetric and symmetric cohomologies associated with Jackson integrals of type BCnBC_n is studied. Explicit bases of the cohomologies are also stated. It is shown that the integrals using these bases satisfy holonomic systems of linear qq-difference equations with respect to the parameters.

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On the structure of Jackson integrals of $BC_n$ type and holonomic $q$-difference equations — Mathematical Frontier Network