Hasan Coskun, Texas A&M University, U.S.A.
e-mail: coskun@math.tamu.edu

The analogue of Jackson's summation theorem for the affine root system $B_1^{\vee}$ and its applications


The analogue of the Jackson's sum of a terminating very  well-poised balanced $_8\phi_7$ series for the affine  root system $B_1^\vee$ is proved. A couple of very interesting applications of this result is presented.