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About the cover: meromorphic functions with doubly periodic phase - MaRDI portal

About the cover: meromorphic functions with doubly periodic phase (Q1745947)

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scientific article; zbMATH DE number 6861512
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About the cover: meromorphic functions with doubly periodic phase
scientific article; zbMATH DE number 6861512

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    About the cover: meromorphic functions with doubly periodic phase (English)
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    18 April 2018
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    In this expository paper some remarks concerning meromorphic functions with doubly periodic phase (argument) are developed. The authors discuss a canonical representation of these functions in relationship with the Weierstrass \(\sigma\)-function associated with \({\mathbb Q}\). In particular, it is pointed out that the zeros and poles of a meromorphic function with doubly periodic phase in a fundamental domain can be prescribed arbitrarily, with the only restriction that their counting multiplicities must coincide.
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    meromorphic function
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    phase plot
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    elliptic function
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    Weierstrass \(\sigma \)-function
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