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- W4293761330 abstract "Elliptic functions are largely studied and standardized mathematical objects. The two usual approaches are due to Jacobi and Weierstrass. From a contour integral which allowed us to unify many summation formulae (Euler-MacLaurin, Poisson, Voronoi or Circle formulae), we will find the entirety of the elliptic functions, proposed either in the shape of Jacobi or Weierstrass. But with one translation which appears in their natural form. What could seem a defect will lead us to a renormalisation of the elliptic functions making it possible to determine, in a rather simple way, a Fourier series representation and a factorization of these functions." @default.
- W4293761330 created "2022-08-31" @default.
- W4293761330 creator A5091030953 @default.
- W4293761330 date "2017-01-26" @default.
- W4293761330 modified "2023-09-25" @default.
- W4293761330 title "Elliptic functions revisited" @default.
- W4293761330 doi "https://doi.org/10.48550/arxiv.1701.07890" @default.
- W4293761330 hasPublicationYear "2017" @default.
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