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## On elliptic functions

Wanna learn what we discuss , see tutorials

Unfortunately, there are no good references available for elliptic functions online. Each book I have ever seen contains only bits and pieces of information. There is no solid reference. Here are my suggestions :

Wanna learn what we discuss , see tutorials

Wanna learn what we discuss , see tutorials

Yes, I was thinking about it. I think I will start next week.

Hey zaidalyafey I am new in the forum and this is my first post. I tried to give you some link but as it was a first post so system administration denied. Do you need yet?

If you r yet looking for elliptic functions, you can visit http://www.forgottenbooks.com/ and search the book "Lectures of Theory of Elliptic Functions" by "Harris Hancock". You can also see https://wwwx.cs.unc.edu/~snape/publicat ... tation.pdf -- best of luck.

**Moderator:** Shobhit

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I am looking for good references to learn about elliptic functions , any ideas ?

\(\displaystyle \sum_{k\geq 0}\frac{f^{(k)} (s)}{(s+1)_k} (-s)^{k}= \int^{1}_0x^{s} f(s x) \left( \frac{x}{s}\right) \, dx\)

Wanna learn what we discuss , see tutorials

- Search a lot... Try searching for papers on Jacobi Theta Functions, Eisenstein Series, Elliptic Integrals, Modular Equations, Weierstrass's Elliptic Functions, etc.
- Read Jacobi's "Fundamenta nova theoriae functionum ellipticarum". It's written in Latin but it is possible to find a translation somewhere.
- Read Ramanujan's Notebooks. Ramanujan did a lot of work on Elliptic Functions than any other mathematician.
- Read about q-Series, Partition Theory and Hypergeometric Functions before learning about Elliptic Functions.
- Search about Rogers-Ramanujan Continued Fraction and Modular Equations.

Thanks for the links . We always suffer to learn more about special functions . That doesn't include PolyLogarithms and Associated functions thanks to Lewin .

\(\displaystyle \sum_{k\geq 0}\frac{f^{(k)} (s)}{(s+1)_k} (-s)^{k}= \int^{1}_0x^{s} f(s x) \left( \frac{x}{s}\right) \, dx\)

Wanna learn what we discuss , see tutorials

Hey Shobhit can you make small tutorials on Elliptic integrals and Hypergeoemtric functions and their properties ?

If you have time !

If you have time !

\(\displaystyle \sum_{k\geq 0}\frac{f^{(k)} (s)}{(s+1)_k} (-s)^{k}= \int^{1}_0x^{s} f(s x) \left( \frac{x}{s}\right) \, dx\)

Wanna learn what we discuss , see tutorials

zaidalyafey wrote:

Hey Shobhit can you make small tutorials on Elliptic integrals and Hypergeoemtric functions and their properties ?

If you have time !

If you have time !

Yes, I was thinking about it. I think I will start next week.

7 posts
• Page **1** of **1**