Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594198 | Journal of Number Theory | 2012 | 18 Pages |
Abstract
In this article using the theory of Eisenstein series, we give the complete evaluation of two Gauss hypergeometric functions. Moreover we evaluate the modulus of each of these functions and the values of the functions in terms of the complete elliptic integral of the first kind K. As application we give way of how to evaluate the parameters in a closed-well posed form, of a general Ramanujan type 1/π formula. The result is a formula of 110 digits per term.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory