Hi Ondrej, Regarding the conversion of holonomic to hypergeometric, approaches I have in mind:
1. If the ratio of terms can be found out directly using the recurrence relation then one can get the hypergeometric representation 2. Getting a closed form of the recurrence and thus computing the ratio to convert to hypergeometric 3. Guessing the function from the coefficients in series expansions Are there any more methods which I am missing? As you wrote here <https://gist.github.com/certik/847cafaf3111730c5b3f> > "To convert a holonomic function back to a hypergeometric one is also > quite easy, as one can expand the holonomic function into a (formal) > series, and then compute the ratio of terms and get the hypergeometric > function out of it." Does the ratio here means the numerical value? How one can get the hypergeometric function from the numerical values of the ratio? On Sunday, March 13, 2016 at 12:41:41 AM UTC+5:30, Subham Tibra wrote: > > I have few questions. > > When finding a recurrence relation for the series expansion, is it > required just about the origin or at any arbitrary point? > > In cases, when the ratio of terms can be found out directly by the > recurrence relation or we can find the closed form of the recurrence, we > can convert holonomic to hypergeometric. If these are not possible, then > what would be our approach to convert to hypergeometric? > > On Friday, March 11, 2016 at 9:48:14 PM UTC+5:30, Subham Tibra wrote: >> >> Hi, I have created a pull request regarding this. Please give your >> suggestions and ideas here <https://github.com/sympy/sympy/pull/10793>. >> >> On Tuesday, March 8, 2016 at 10:17:24 PM UTC+5:30, Ondřej Čertík wrote: >>> >>> Hi Tabot, >>> >>> On Tue, Mar 8, 2016 at 4:59 AM, Tabot Kevin <tabot...@gmail.com> wrote: >>> > Hello Ondrej, I am really interested in this projects. Please can you >>> point >>> > me to steps i can take to get started familiarizing myself with the >>> SymPy >>> > environment for this project? >>> >>> The best is to try to figure out how the holonomic functions should be >>> implemented, as discussed in this thread. >>> >>> Everyone --- if you are interested in this project, definitely >>> consider applying. We accept the best proposals, and if two or more >>> proposals are accepted for similar work, GSoC allows us to amend the >>> work, so that you work complements each other. We've done it in the >>> past, e.g. with regards to fast series expansion/polynomials. >>> >>> Ondrej >>> >> -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/31238a9b-1830-4e47-86a6-5b5f1f44ede1%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
