Hendriks, W.H. (2009) The Schwarz-Christoffel transformation and elliptic functions. Bachelor's Thesis, Mathematics.
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Abstract
An important result from complex analysis, the Riemann mapping theorem, states that there exists a conformal bijective mapping f, from A to B between any two simply connected open sets A and B, both not equal to the whole complex-plane C. In the case where the upper half-plane is conformally mapped onto an open set which is the inside of a simple polygon, the mapping has the form of a Schwarz-Christoffel transformation (SCT). The SCT will be discussed in detail, and will be used to define Jacobi elliptic functions. Jacobi elliptic functions form a special set of elliptic functions in general. Elliptic functions are doubly periodic meromorphic functions. Basic properties of elliptic functions will be discussed.
| Item Type: | Thesis (Bachelor's Thesis) |
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| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 15 Feb 2018 07:29 |
| Last Modified: | 15 Feb 2018 07:29 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/8760 |
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