International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 5, Pages 78739, 8 p.
doi:10.1155/IJMMS/2006/78739
Summation identities for representation of certain real numbers
George Grossman1
, Akalu Tefera2
and Aklilu Zeleke3
1Department of Mathematics, Central Michigan University, Mount Pleasant 48859, MI, USA
2Department of Mathematics, Grand Valley State University, Allendale 49401, MI, USA
3Lyman Briggs School, Michigan State University, East Lansing 48825-1107, MI, USA
Abstract
We present identities used to represent real numbers of the form xum±yvn for appropriately chosen real numbers x, y, u, v and nonnegative integers m and n. We present the proofs of the identities by applying Zeilberger's algorithm.