arXiv
Open Access
2024
Factorial Basis Method for q-Series Applications
Antonio Jiménez-Pastor
Ali Kemal Uncu
Abstrak
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.
Penulis (2)
A
Antonio Jiménez-Pastor
A
Ali Kemal Uncu
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
- Bahasa
- en
- Sumber Database
- arXiv
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- Open Access ✓