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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 2004 Volume 59, Issue 5(359), Pages 29–100 (Mi rm771)

This article is cited in 20 papers

Hypergeometric functions over an arbitrary field

I. M. Gel'fand, M. I. Graev, V. S. Retakh

Scientific Research Institute for System Studies of RAS

Abstract: 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 $\mathbb R$.

UDC: 517.58

MSC: Primary 33C70; Secondary 33C80, 33C20, 12J25, 12E20, 46S10, 33C05, 33D70

Received: 12.07.2004

DOI: 10.4213/rm771


 English version:
Russian Mathematical Surveys, 2004, 59:5, 831–905

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