On the sigma function identity

Details On the sigma function identity On the sigma function identity

2006-03-07

arxiv.org/abs/math/0603153v2

Mathematics

Complex Variables

This result turns out to be very old (see Whittaker,Watson,"A Course of Modern Analysis", ch. 20, Exercise 38). Two proofs are

Scientific paper

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.

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