Short Proofs of Three Theorems on Elliptic Integrals

@inproceedings{Carlson1978ShortPO,
  title={Short Proofs of Three Theorems on Elliptic Integrals},
  author={B. C. Carlson},
  year={1978}
}
Duplication, reduction, and addition theorems are proved for a symmetric elliptic integral of the first kind by change of integration variable. Some comments are made on the reduction theorem and its relation to the addition theorem.