Tokyo Journal of Mathematics

On Wronskian Determinant Formulas of the General Hypergeometric Functions

Hironobu KIMURA

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Abstract

The general hypergeometric functions of confluent type are studied. We establish a link between the general hypergeometric functions defined by 1-dimensional integrals and those defined by multi-dimensional integrals. The key point is to form an intermediate Wronskian determinant for the 1-dimensional ones and to rewrite it into a multi-dimensional integral using the generalized Veronese map.

Article information

Source
Tokyo J. of Math., Volume 34, Number 2 (2011), 507-524.

Dates
First available in Project Euclid: 30 January 2012

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1327931399

Digital Object Identifier
doi:10.3836/tjm/1327931399

Mathematical Reviews number (MathSciNet)
MR2918919

Zentralblatt MATH identifier
1242.33014

Subjects
Primary: 53C45: Global surface theory (convex surfaces à la A. D. Aleksandrov)
Secondary: 33C80: Connections with groups and algebras, and related topics

Citation

KIMURA, Hironobu. On Wronskian Determinant Formulas of the General Hypergeometric Functions. Tokyo J. of Math. 34 (2011), no. 2, 507--524. doi:10.3836/tjm/1327931399. https://projecteuclid.org/euclid.tjm/1327931399


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References

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