Published 2025-01-15
DOI:
https://doi.org/10.71712/a87d-v738Keywords
- Elliptic functions,
- Fourier series,
- hyperbolic functions,
- elliptic integrals,
- infinite series
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Glasser, M. . (2025). A note on series of hyperbolic functions. Scientia Series A: Mathematical Sciences, 35(1), 131-139. https://doi.org/10.71712/a87d-v738
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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