Lecture Notes of Möbuis Transformation in Hyperbolic Plane

Rania B. M. Amer^{*}

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References

[1] Yilmaz, N. (2009) On Some Mapping Properties of Möbius Transformations. The Australian Journal of Mathematical Analysis and Applications, 6, 1-8.

[2] Nehari, Z. (1952) Conformal Mapping. McGraw-Hill Book, New York.

[3] John, O. (2010) The Geometry of Möbius Transformations. University of Rochester, Rochester.

[4] Graeme, K.O. (2012) Random Discrete Groups in the Space of Möbuis Transformations. Msc Thesis, Massey University, Albany.

[5] Aramayona, J. (2011) Hyperbolic Structures on Surfaces. Lecture Notes Series, IMS, NUS, 9.

[6] Beardon, A.F. (1995) The Geometry of Discrete Groups, Graduate Texts in Mathematics, 91. Springer-Verlag, New York.

[7] Jones, G.A. and Singerman, D. (1987) Complex Functions, an Algebraic and Geometric Viewpoint. Cambridge University Press, Cambridge. http://dx.doi.org/10.1017/CBO9781139171915

[8] Lehner, J. (1964) Discontinuous Groups and Automorphic Functions, Mathematical Surveys, 8. American Mathematical Society, Providence. http://dx.doi.org/10.1090/surv/008

[9] Seppälä, M. and Sorvali, T. (1992) Geometry of Riemann Surfaces and Teichmüller Spaces, Chapter 1. Elsevier Science Publishing Company, INC, New York, 11-58.