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Factorial Basis Method for q-Series Applications
- Publication Year :
- 2024
-
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.<br />Comment: 9 double-column pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2402.04392
- Document Type :
- Working Paper