2025/05/19 by glasser, lawrence
#Elliptic functions #Fourier series #elliptic integrals #hyperbolic functions #infinite series
paper · doi:10.71712/a87d-v738
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.