Cohomology groups for recurrence relations and contiguity relations of hypergeometric systems

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概要

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• We develop the theory of cohomology groups for recurrence relations, based upon the asymptotic analysis of finite difference equations carried out in a previous paper. We apply it to compute the Gevrey extension groups of the \mathscr{D}-modules associated to some confluent hypergeometric systems. In those applications, recurrence relations appear as contiguity relations of hypergeometric systems.

• 社団法人 日本数学会の論文
• 2003-04-01

著者

• Iwasaki Katsunori

  Graduate School Of Mathematics Kyushu University

関連論文

• Cohomology groups for recurrence relations and contiguity relations of hypergeometric systems
• Chaos in the Sixth Painleve Equation(Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve Hierarchies)

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