@inproceedings{5d2d42bec9534e07b14ef559f42aeeba,
title = "Factorial Basis Method for q-Series Applications: To the memory of an inspirational mathematician, Marko Petkov{\v s}ek",
abstract = "The Factorial Basis method, initially designed for quasi-triangular, shift-compatible factorial bases, provides solutions to linear recurrence equations in the form of definite-sums. This paper extends the Factorial Basis method to its q-analog, enabling its application in q-calculus. We demonstrate the adaptation of the method to q-sequences and its utility in the realm of q-combinatorics. The extended technique is employed to automatically prove established identities and unveil novel ones, particularly some associated with the Rogers-Ramanujan identities.",
keywords = "definite hypergeometric sums, holonomic, integer partitions, q-series, shift-compatible factorial bases",
author = "Antonio Jim{\'e}nez-Pastor and Uncu, {Ali Kemal}",
year = "2024",
month = jul,
day = "16",
doi = "10.1145/3666000.3669711",
language = "English",
series = "Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC",
publisher = "Association for Computing Machinery",
pages = "382--390",
editor = "Shaoshi Chen",
booktitle = "ISSAC 2024 - Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation",
address = "USA United States",
note = "49th International Symposium on Symbolic and Algebraic Computation, ISSAC 2024 ; Conference date: 16-07-2024 Through 19-07-2024",
}