I have added my application in wiki page . The link to which is https://github.com/sympy/sympy/wiki/GSoC-2019-Nabanita-Dash:Series-expansions:Improving-rs_series,Formal-Power-Series(series.formal),limits(series.limits)
On Wednesday, March 27, 2019 at 5:37:47 PM UTC+5:30, Nabanita Dash wrote: > > Hi, > This is a GSoC-19 aspirant.I am a 2nd year CS Undergrad from > IIIT,BBSR,India. I want to work on the project idea of Series-Expansion.I > had discussed with Sartaj Singh as said by Aaron Meurer to geta hold on the > idea.My proposed ideas are as below: > !)Improve rs_series module > I plan to add fourier,taylor,maclaurian,dirichlet,stirling series and > other hyperbolic series in rs_series to make it efficient to use. > 2)Improve Formal Power Series > a)The limits applied to check fps and calculate logarithmic singularity > needs improvement as it creates XFAIL tests.I want to create an API that > accepts the singularities points and revise it to give positive results. > >>>f = asech(x) > >>>fps(f, x) > log(2) - log(x) - x**2/4 - 3*x**4/64 + O(x**6) > A logarithmic singularity is a singularity of an analytic function whose > main z-dependent term is of order O(lnz). An example is the singularity of > the Bessel function of the second kind > Y_0(z)∼(2gamma)/pi+2/piln(1/2z)+... at z=0 > ,Green function and some trignometric functions. > > Singularities with leading term consisting of nested logarithms, e.g., > lnlnlnz, are also considered logarithmic. > 3) Improve limits > I think of adding special functions for calculating limits at oo. > https://github.com/sympy/sympy/issues/14590 according to no special > functions have been used in limits code. > > def test_exponential2(): > n = Symbol('n') > assert limit((1 + x/(n + sin(n)))**n, n, oo) == exp(x) > Also,I plan to calculate limits at multivariate points.In SymP, > limit(a,z,z0,dir='+') is possible to calculate limits for a single variable > z,I want to calculate limit(f(x,y),x,y,x0,y0,dir='+') > > > I need suggestions to work on these ideas as well as any changes to be > made to these or propose any other idea is welcome. > > -- 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/899be730-13ba-4f23-93bf-c5eba768a998%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
