@article{bostan:hal-01332175, TITLE = {{Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane}}, AUTHOR = {Bostan, Alin and Chyzak, Fr{\'e}d{\'e}ric and van Hoeij, Mark and Kauers, Manuel and Pech, Lucien}, URL = {https://inria.hal.science/hal-01332175}, JOURNAL = {{European Journal of Combinatorics}}, PUBLISHER = {{Elsevier}}, VOLUME = {61}, PAGES = {242-275}, YEAR = {2017}, DOI = {10.1016/j.ejc.2016.10.010}, KEYWORDS = { Hypergeometric functions ; Walks in the quarter plane ; Generating functions}, PDF = {https://inria.hal.science/hal-01332175v2/file/walks.pdf}, HAL_ID = {hal-01332175}, HAL_VERSION = {v2}, }