Introducing elliptic, an R Package for Elliptic and Modular Functions

Abstract

This paper introduces the elliptic package of R routines, for numerical calculation of elliptic and related functions. Elliptic functions furnish interesting and instructive examples of many ideas of complex analysis, and the package illustrates these numerically and visually. A statistical application in fluid mechanics is presented.

Keywords

• elliptic functions
• modular functions
• Weierstrass elliptic functions
• visualization