Geodesic
Hypergeometric functions over an arbitrary field
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 5, pp. 831-905

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This paper is devoted to the definition and investigation of hypergeometric functions over an arbitrary continuous locally compact field or a finite field, based on the author's earlier definition of generalized hypergeometric function over the field $\mathbb R$. 
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     author = {I. M. Gel'fand and M. I. Graev and V. S. Retakh},
     title = {Hypergeometric functions over an arbitrary field},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {831--905},
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     volume = {59},
     number = {5},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2004_59_5_a1/}
}
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I. M. Gel'fand; M. I. Graev; V. S. Retakh. Hypergeometric functions over an arbitrary field. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 5, pp. 831-905. http://geodesic.mathdoc.fr/item/RM_2004_59_5_a1/