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A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations

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Publication date

2014-04-18

Authors

Bod, E.ISNI 0000000392455653

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DOI

https://doi.org/10.1016/j.indag.2013.10.002

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Article

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Abstract

We consider A-hypergeometric functions associated to normal sets in the plane.We give a classification of all point configurations for which there exists a parameter vector such that the associated hypergeometric function is algebraic. In particular, we show that there are no irreducible algebraic functions if the number of boundary points is sufficiently large and A is not a pyramid.

Keywords

Hypergeometric functions, Algebraic functions, Polygons

Citation

Bod, E 2014, 'A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations', Indagationes Mathematicae, vol. 25, no. 3, pp. 427–453. https://doi.org/10.1016/j.indag.2013.10.002

URI

https://dspace.library.uu.nl/handle/1874/307578