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Periodic and Elliptic Functions

Norbert Steinmetz ()
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Norbert Steinmetz: TU Dortmund, Department of Mathematics

Chapter 7 in Lectures on Complex Analysis, 2026, pp 155-181 from Springer

Abstract: Abstract 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 $$\varTheta $$Θ-functions and the Weierstrass $$\wp $$℘-function, respectively.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-13996-2_7

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DOI: 10.1007/978-3-032-13996-2_7

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