Jacobian Elliptic Functions, Continued Fractions and Ramanujan Quantities
arXiv:1001.2660
Abstract
In this article we present ways to evaluate certain sums, products and continued fractions using tools from the theory of elliptic functions. The specific results appear to be new, although similar ones can be found in the leterature; in most cases the methods applied are different.
12 pages
Cited by in corpus (7)
- On a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction
- On the Complete Evaluation of Jacobi Theta Functions
- The First Derivative of Ramanujans Cubic Continued Fraction
- Generalizations of Ramanujans Continued fractions
- On the complete solution of the general quintic using Rogers-Ramanujan continued fraction
- On Algebraic Functions
- Evaluations of Series Related to Jacobi Elliptic Functions