The development of elliptic functions according to Ramanujan and Venkatachaliengar

Abstract

These notes are based on the monograph Development of Elliptic Functions according to Ramanujan by K. Venkatachaliengar [2]. The goal of the notes is to show how some of the main properties of Jacobian and Weierstrass elliptic functions can be developed in an elementary way from the 1Ã1 function. All of the ideas presented in these notes can be found in Venkatachaliengar's book. The only thing I have done is to rearrange the order in which the material is presented. I am entirely responsible for any errors in these notes, and would be very grateful to be informed about them, whether they be large or small.