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Bilinear Transformations and Applications

In: Complex Analysis and Applications

Author

Listed:
  • Hemant Kumar Pathak

    (Pt. Ravishankar Shukla University, School of Studies in Mathematics)

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.

Suggested Citation

  • Hemant Kumar Pathak, 2019. "Bilinear Transformations and Applications," Springer Books, in: Complex Analysis and Applications, chapter 0, pages 487-557, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-9734-9_6
    DOI: 10.1007/978-981-13-9734-9_6
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