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Mathematics—An Open Access Journal
Mathematics 2013, 1(1), 3-8; doi:10.3390/math1010003
Article

On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform

*  and *
Department of Math & CS, Emory University, 400 Dowman Dr., W401 Atlanta, GA, 30322, USA
* Authors to whom correspondence should be addressed.
Received: 6 January 2013 / Revised: 15 January 2013 / Accepted: 22 January 2013 / Published: 5 February 2013
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Abstract

In his 1984 Ph.D. thesis, J. Greene defined an analogue of the Euler integral transform for finite field hypergeometric series. Here we consider a special family of matrices which arise naturally in the study of this transform and prove a conjecture of Ono about the decomposition of certain finite field hypergeometric functions into functions of lower dimension.
Keywords: hypergeometric series; finite fields; Euler integral transform hypergeometric series; finite fields; Euler integral transform
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Griffin, M.; Rolen, L. On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform. Mathematics 2013, 1, 3-8.

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