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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

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Received: 6 January 2013; in revised form: 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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Griffin, M.; Rolen, L. On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform. Mathematics 2013, 1, 3-8.

AMA Style

Griffin M, Rolen L. On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform. Mathematics. 2013; 1(1):3-8.

Chicago/Turabian Style

Griffin, Michael; Rolen, Larry. 2013. "On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform." Mathematics 1, no. 1: 3-8.


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