Möbius transformations

A form of Möbius transformation — A transformation of the extended complex plane that is a rational function of the form f(z) = (az + b) / (cz + d), where a, b, c, d are complex numbers such that ad − bc ≠ 0; an automorphism of the complex projective line.

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Meanings

noun
  1. pluralplural of Möbius transformation
Cite this entry
APA

Möbius transformations. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/M%C3%B6bius%20transformations

MLA

“Möbius transformations.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/M%C3%B6bius%20transformations. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Möbius transformations,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/M%C3%B6bius%20transformations.

Source: Möbius transformations on Wiktionary, CC BY-SA 4.0.