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A novel construction of Jacobi's elliptic functions from deformed Lie algebra

General Mathematics 2025-02-06 v1

Abstract

Jacobi's elliptic functions have been constructed from a deformed Lie algebra. The generators of the algebra have been obtained from a bi-orthogonal system. The deformation parameter resembles the modulus of the relevant elliptic functions.

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Cite

@article{arxiv.2502.02604,
  title  = {A novel construction of Jacobi's elliptic functions from deformed Lie algebra},
  author = {Arindam Chakraborty},
  journal= {arXiv preprint arXiv:2502.02604},
  year   = {2025}
}

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4 pages