On a generalization of Jacobi's elegantissima
arXiv:2305.06717 · doi:10.1016/j.physd.2023.133894
Abstract
We establish a generalization of Jacobi's elegantissima, which solves the pendulum equation. This amazing formula appears in lectures by the famous cosmologist Georges Lemaître, during the academic years 1955-1956 and 1956-1957. Our approach uses the full power of Jacobi's elliptic functions, in particular imaginary time is crucial for obtaining the result.
arXiv commenttypos corrected, references added, accepted for publication Physica D