I am a post-doc working on the university and I am dealing with elliptic integrals together with Maple, nowadays. I am using for my computations en EllipticK(.) function and I need to know how this function computes its exact values for a given parametr of an elliptic modulus. Does it use some kind of a series(how does it pertinently look like?) or is it tabelated and consequently interpolated? Please, will you be so kind and could you give me an answer? Thank you very much for your answer in advance.
With best regards