Published 26-11-2024
Keywords
- Elliptic functions,
- Fourier series,
- hyperbolic functions,
- elliptic integrals,
- infinite series
Abstract
By means of an elementary re-summation any convergent hyperbolic series can be associated with one of more `alleles', i.e. similar series which has the same value. A number of examples are treated here, most of which stem from Fourier series for elliptic functions introduced by K. Jacobi.
