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On rational de Rham cohomology associated with the generalised confluent hypergeometric functions I, ℙ1 case

Published online by Cambridge University Press:  14 November 2011

Hironobu Kimura
Hironobu Kimura
Affiliation:
Department of Mathematics, Kumamoto University, Kumamoto 860, Japan
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Abstract

We define the rational de Rham cohomology associated with the generalised confluent hypergeometric functions. Purity of the cohomology is proved and an explicit ℂ-basis of the nontrivial cohomology is computed.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 1 , 1997 , pp. 145 - 155
Copyright
Copyright © Royal Society of Edinburgh 1997

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