## [t: enhancement] [c: algebra] Implement gfun-style interface for recurrence/ODE tools and document equivalence with Maple
## Overview Hello SageMath Community, I’m preparing a GitHub issue to enhance SageMath’s support for recurrences and differential equations by creating a unified interface that mirrors Maple’s gfun library. ## Key Proposal - **Scope:** Unify `ore_algebra`, `rec_sequences`, and FLINT under a standardized API. - **Enhancements:** - Add missing gfun functions (e.g., `listtoalgeq`, `rectoproc`). - Improve boundary condition handling. - **Documentation:** Write tutorials mapping gfun workflows to Sage equivalents (e.g., `diffeqtorec` ↔ `ore_algebra` tools). ## Example Code ``` from sage.rings import QQ from ore_algebra import OreAlgebra R.<n> = QQ[] A.<Sn> = OreAlgebra(R, 'Sn') rec = Sn^2 - Sn - 1 # Fibonacci recurrence gfun_solver = GFunInterface() gfun_solver.rectoproc(rec) # Output: Generating function ``` *Request for Feedback* - Does this scope align with SageMath’s ODE/recurrence tools roadmap? - What critical gfun functionalities are still missing in Sage? (e.g., hybrid symbolic-numeric solving) This project aims to reduce dependency on Maple for combinatorialists and strengthen Sage’s ODE/recurrence ecosystem. Your insights are crucial! Best regards, Vishal Shahi -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/sage-devel/07a684b4-7343-432e-97b4-143ef22c0623n%40googlegroups.com.
