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doi: 10.3934/era.2021007

## Telescoping method, summation formulas, and inversion pairs

 School of Mathematics, Tianjin University, Tianjin 300350, China

* Corresponding author

Received  May 2020 Revised  November 2020 Published  January 2021

Based on Gosper's algorithm, we present an approach to the telescoping of general sequences. Along this approach, we propose a summation formula and a bibasic extension of Ma's inversion formula. From the formulas, we are able to derive several hypergeometric and elliptic hypergeometric identities.

Citation: Qing-Hu Hou, Yarong Wei. Telescoping method, summation formulas, and inversion pairs. Electronic Research Archive, doi: 10.3934/era.2021007
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