Wei, C.N., Gong, D.X. and Fu, X.M. (2011) Duplicate form of Carlitz Inversions and Summation. Discrete Mathematics, 311, 1699-1713. https://doi.org/10.1016/j.disc.2011.04.011
has been cited by the following article:
TITLE: Duplicate Form of the Generalized Carlitz Inversions and Summation Formulae
AUTHORS: Qiaoying Dong
KEYWORDS: Duplicate Inversions, Generalized Gould-Hsu Inversions, Generalized Carlitz Inversions
JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.4, April 24, 2019
ABSTRACT: 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.