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For questions about implementing and using complex arithmetic operations.

6 votes

Numerical computation of the complex elliptic integral $E(k)$ for medium $|k|$

After some searching I found two formulas to solve the accuracy problem. The two modifications are In range $|k| \ge 40$ the (asymptotic) series from http://functions.wolfram.com/08.01.06.0010.02 is …
gammatester's user avatar
6 votes
1 answer
122 views

Numerical computation of the complex elliptic integral $E(k)$ for medium $|k|$

I have implemented Carlson's algorithm for $E(k)$ from Numerical computation of real or complex elliptic integrals (available from ArXiv eprint, see also DLMF). It is essentially his formula (46) whic …
gammatester's user avatar