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This chapter is devoted to the study of simply and doubly periodic meromorphic functions. In particular, we describe and compare the approaches of Jacobi and Weierstrass to the theory of elliptic functions, which are based on the Jacobi \(\varTheta \)-functions and the Weierstrass \(\wp \)-function, respectively.

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Periodic and Elliptic Functions

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  • 发表日期：

    2026年

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  • Norbert Steinmetz

摘要

This chapter is devoted to the study of simply and doubly periodic meromorphic functions. In particular, we describe and compare the approaches of Jacobi and Weierstrass to the theory of elliptic functions, which are based on the Jacobi \(\varTheta \)-functions and the Weierstrass \(\wp \)-function, respectively.