%0 Journal Article
%T On Matrices Arising in the Finite Field Analogue of Euler¡¯s Integral Transform
%A Michael Griffin
%A Larry Rolen
%J Mathematics
%D 2013
%I MDPI AG
%R 10.3390/math1010003
%X 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.
%K hypergeometric series
%K finite fields
%K Euler integral transform
%U http://www.mdpi.com/2227-7390/1/1/3