# On the existence of telescopers for rational functions in three variables

@article{Chen2021OnTE, title={On the existence of telescopers for rational functions in three variables}, author={Shaoshi Chen and Lixin Du and Rong-Hua Wang and C. Zhu}, journal={J. Symb. Comput.}, year={2021}, volume={104}, pages={494-522} }

Zeilberger's method of creative telescoping is crucial for the computer-generated proofs of combinatorial and special-function identities. Telescopers are linear differential or ($q$-)recurrence operators computed by algorithms for creative telescoping. For a given class of inputs, when telescopers exist and how to construct telescopers efficiently if they exist are two fundamental problems related to creative telescoping. In this paper, we solve the existence problem of telescopers for… Expand

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