On the sigma function identity

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We consider the known functional identity on the Weierstrass sigma function. A complete classification of odd entire functions which satisfy the same identity is obtained.
This result turns out to be very old (see Whittaker,Watson,"A Course of Modern Analysis", ch. 20, Exercise 38). Two proofs are essentially different

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Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/110086

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603153
 http://arxiv.org/abs/math/0603153

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arXiv