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/639bb190-cb7d-4dd2-b5ef-243ca80d43c3%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
