Author(s)

Qiaoying Dong

College of Science, Tianjin University of Technology, Tianjin, China.

The duplicate form of the generalized Gould-Hsu inversions has been obtained by Shi and Zhang. In this paper, we present a simple proof of this duplicate form. With the same method, we construct the duplicate form of the generalized Carlitz inversions. Using this duplicate form, we obtain several terminating basic hypergeometric identities and some limiting cases.

Duplicate Inversions, Generalized Gould-Hsu Inversions, Generalized Carlitz Inversions

Dong, Q. (2019) Duplicate Form of the Generalized Carlitz Inversions and Summation Formulae. Journal of Applied Mathematics and Physics, 7, 900-911. doi: 10.4236/jamp.2019.74060.