GSOC 2017 : Improvements in Limits and Series Expansion

[shikhar...@gmail.com]

Hey, 

I am Shikhar(@Shikhar1998) and I interested in participating in GSOC 2017 with sympy.

I went through the Ideas Page and found the `Series Expansion` module quite interesting. 

Below is a rough list I charted based on what I perceived on exploring the Series module

and related PR's.  

Series :

1 . Improvements in checking if the series is convergent :

1. Checking convergence of more than 1 variable series.

2. Selectively applying Raebe's Test, Logarithmic Test, Cauchy Root Test

3. Acceleration Methods for Slowly Convergent Sequences

like E - algortithm, Levin's Transformations

refer thesis : (http://www.cis.twcu.ac.jp/~osada/thesis_osada.pdf)

Improvements as suggested as on Ideas Page :

2.  Step Further in rs_series module (Addition of More Functions to this module)  

3 . Improving Performance of Formal Power Series and removing XFAILS 

4 . Implementation: `Order` about a point that is not 0

  

Limits : 

1 . Implementation : Limits of HyperGeometric Function

2 . Extension of Limits to Complex as in Maple 

3 . Fixing Bugs in Limits

Please correct me if something has been already implemented or is potentially

not required or not included. I would be glad to know if someone is interested in mentoring this project. 

And provide some references on how to proceed. 

Thanks.