Duplicate Form of the Generalized Carlitz Inversions and Summation Formulae ()
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.
Share and Cite:
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.
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