Timeline for Solving a general two-term combinatorial recurrence relation
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| Nov 24, 2011 at 21:55 | comment | added | Mike Spivey | Also, the Migdal paper uses generating functions. I've tried those on my problem, and I haven't been able to make them work. (Maybe someone else can, of course.) But the point is that a reference to a slightly different problem in which someone uses a technique I've already tried doesn't solve my problem. If you can see how to make one of the techniques in one of the papers you mention solve my problem, though, please post the solution! I would upvote and accept such an answer. | |
| Nov 24, 2011 at 21:52 | comment | added | Mike Spivey | The recurrence relations in those papers don't have the parameters in the same form as in my question. As I said in my earlier comment, slight changes to the parameters in a partial difference equation can make a huge difference in the solution, so to answer my question I would need a reference in which the parameters are exactly of the same form. | |
| Nov 8, 2011 at 2:13 | comment | added | sigma_z_1980 | Could you explain what exactly doesn't match up? Also you may want ot have a look at undergrad textbook by Elaydi, An Introduction to Difference Equations, Chapeter 2.4 deals with nonhomogeneous equations, maybe it helps. I asked a similar question here and on MSE, but still pretty vague about what to do. I know it uses GF and determinant of eigenmatrices somehow though. It's strange since the implication is very intuitive, especially in biological/life sciences. mathoverflow.net/questions/80194/… | |
| Nov 7, 2011 at 22:51 | comment | added | Mike Spivey | Unfortunately, the recurrences in those papers don't quite match up with the one I'm asking about. And with partial difference equations like these, slight changes in the parameters can make a huge difference in the solutions. Thank you for the interesting references, though. | |
| Nov 6, 2011 at 22:44 | comment | added | sigma_z_1980 | arxiv.org/pdf/1009.1031 for the paper on Mafia game jstor.org/stable/3215985 for Gani's paper on random allocation model + have a look at refernces to Woodbury and Rutherford hope it helps | |
| Nov 6, 2011 at 12:20 | comment | added | J. M. isn't a mathematician | Could you at least give the full citation for this paper you speak of? | |
| Nov 6, 2011 at 6:46 | history | answered | sigma_z_1980 | CC BY-SA 3.0 |