I'd be interested in what output you'd like to have. The hard part in the FriCAS package was to get decent speed, changing output should be relatively straightforward.
(I guess that you are aware of the possibility of using the package from within sage) Martin Am Samstag, 19. November 2016 16:56:42 UTC+1 schrieb Maxie Schmidt: > > Hello, > > I have been working back and forth between Sage and Mathematica for a > while now trying to learn how to use Sage to replace Mathematica's core > functionality in my day to day use of it. One of the (sets of) functions > haven't yet found a suitable open source alternative for is related to > guessing formulas and generating functions for an input sequence (as in > Mathematica's FindSequenceFunction and FindGeneratingFunction). Related > functions are Mathematica's RSolve ( > https://reference.wolfram.com/language/ref/RSolve.html?q=RSolve) used to > solve recurrence relations in closed-form formulas, and the closed-source > RISC Sigma package ( > https://www.risc.jku.at/research/combinat/risc/software/Sigma/index.php) > which is able to generate recurrences for many sums and simplify sums > involving harmonic numbers. > > The closest open source alternative I have come across so far is Rubey's > software written in FriCAS described at > http://axiom-wiki.newsynthesis.org/GuessingFormulasForSequences. However, > looking at the source code for the package leaves quite a bit of work to do > to reproduce the output of the Mathematica functions mentioned above. Is > there a better open source alternative to the Mathematica functions > FindSequenceFunction and RSolve that I'm missing in Sage? > > If there isn't a good complete replacement for using Mathematica's > routines for sequence formula guessing and solving recurrences, I'm > interested in trying to write functions / packages that will replace > Mathematica for these tasks. I have already done some work in Sage related > to guessing formulas for special polynomial sequences in my Master's thesis > at UIUC posted at https://arxiv.org/abs/1609.07301. Any suggestions or > links to related open source software are appreciated. > > Sincerely, > > Maxie > -- 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 post to this group, send email to sage-devel@googlegroups.com. Visit this group at https://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
