GSOC 2016 Series expansions

[mvnnn]

Hi,

i am mvnnn and i will be applying for GSOC 2016.

I went through GSoC'16 ideas page and found this interesting https://github.com/sympy/sympy/wiki/GSoC-2016-Ideas#series-expansions 

I have already read the whole document. if possible could you push me in the right direction.

[Ralf Stephan]

I think that entry may be outdated in parts. Best is you have a look at

the code that is on github and compare with the entry to see what's still missing.

Regards,

[mvnnn]

I think that entry may be outdated in parts. Best is you have a look at

the code that is on github and compare with the entry to see what's still missing.

thanks @Ralf Stephan. i will start to work on Series-expansions issue.

[Sartaj Singh]

Hi,

Last year I implemented Formal Power Series and limits of sequences. The algorithm described in the paper is almost done. You can see the XFAILED tests in series/tests/test_formal.py and series/tests/test_limitseq.py, they can probably be made to pass.

[mvnnn]

@Sartaj Singh thanks, i will working on this issue.

[mvnnn]

After look through the issues labeled "series" on the issue tracker. I find that I need to improve limits and need to add some functionality in FPS, asymptotic and Order. I also need to improve rs_series or improve some series is good enough? 

[mvnnn]

My idea related this project :

Order :

1) Impalement omega notation ---> check best case

2) Implement theta notation ---> check average case

3) if user input terms and he want to output in increasing order. in output first term is omega of all other terms and last term is big O of all other terms.

eg. input = x, 2**x, x**2 , e**x, logx.... Output = logx < x < x**2 < 2**x < e**x

series :

4) Implement Arithmetic Progression (AP) Geometric (GP) and Harmonic Progression (HP)

5) Implement function for Closed form expression 

[mvnnn]

Hi all,

I shared my proposal with sympy. title "GSOC 2016 Bhautik mavani: Series expansions".

Any reviews and suggestions would be truly helpful for me.

Thanks,

mvnnn

[Sartaj Singh]

I left a few comments. All the three series expansion proposals almost look the same. Please, try to be more thorough as to how you plan to implement the proposed features.

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Regards

Sartaj Singh

Mathematics and Computing,

Indian Institute of Technology,

Varanasi - 221 005 INDIA

E-mail: singhs...@gmail.com, sartaj.si...@itbhu.ac.in