Published 2024-11-26
Keywords
- Elliptic functions,
- Fourier series,
- hyperbolic functions,
- elliptic integrals,
- infinite series
How to Cite
A note on series of hyperbolic functions. (2024). Scientia Series A: Mathematical Sciences, 35(1), 131-139. https://revistas.usm.cl/scientia/article/view/Vol35_2024_10
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.
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