Bilinear Transformations and Applications

Hemant Kumar Pathak ()
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Hemant Kumar Pathak: Pt. Ravishankar Shukla University, School of Studies in Mathematics

Chapter Chapter 6 in Complex Analysis and Applications, 2019, pp 487-557 from Springer

Abstract: Abstract In this chapter, the reader is introduced with bilinear transformation, also called Möbious tranformation, which deals with more general situations in which we shall answer more abstract questions for determining whether and in what manner a given finite portion of an analytic surface could be represented on a portion of a plane. This chapter also deals with fixed points of bilinear transformations, elliptic, hyperbolic, and parabolic transformations along with some special bilinear transformations.

Date: 2019
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DOI: 10.1007/978-981-13-9734-9_6

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