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.