Academic Editor: Yeol J. E. Cho
Copyright © 2010 Junesang Choi. 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.
In 1994, Lavoie et al. have succeeded in artificially constructing a formula
consisting of twenty three interesting results, except for five cases, closely related to
the classical Dixon's theorem on the sum of a by making a systematic use of some known relations among contiguous functions. We aim at presenting summation
formulas for those five exceptional cases that can be derived by using the same technique
developed by Bailey with the help of Gauss's summation theorem and generalized Kummer's theorem.