Elliptic functions

Thesis Type: Postgraduate

Institution Of The Thesis: Bursa Uludağ University, Fen Bilimleri Enstitüsü, Fen Bilimleri Enstitüsü, Turkey

Approval Date: 2013

Thesis Language: Turkish

Student: Sema Kılıç

Supervisor: Osman Bizim


In this work, elliptic functions which are doubly periodic and meromorphic functions on C are discussed and the properties of these functions are given. In the first chapter of this work, the main concepts and theorems are given. In the second chapter elliptic functions and their properties are discussed. Jacobi elliptic functions, the addition formulae for these functions and the periodicity of these functions are examined. Then Weierstrass elliptic functions are discussed and the differential equation for Weierstrass (z) function is given. Finally, the field of elliptic functions is discussed and the construction of the elliptic functions with given principal parts is studied.