Vol. 35 (2025)
Articles

A note on series of hyperbolic functions

M.L. Glasser
Department of Physics Clarkson University

Published 2025-01-15

DOI:

https://doi.org/10.71712/a87d-v738

Keywords

  • Elliptic functions,
  • Fourier series,
  • hyperbolic functions,
  • elliptic integrals,
  • infinite series

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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