ABSTRACT MSc Thesis ELLIPTIC FUNCTIONS Sema KILIÇ Uludağ University Graduate School of Applied Sciences Department of Mathematics Supervisor: Prof. Dr. Osman BİZİM 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. Key words: Elliptic functions, Jacobi elliptic functions, Weierstrass elliptic functions. 2013, v + 70 pages.
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6. SAYFAYA BENZER SAYFALAR

tabs_sener_yagiz_191898 - Sayfa
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6. SAYFA ICERIGI

ABSTRACT MSc Thesis ELLIPTIC FUNCTIONS Sema KILIÇ Uludağ University Graduate School of Applied Sciences Department of Mathematics Supervisor: Prof. Dr. Osman BİZİM 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. Key words: Elliptic functions, Jacobi elliptic functions, Weierstrass elliptic functions. 2013, v + 70 pages.
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