Linear fraction

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Linear fraction is meromorphic function that can be expressed with

$(1) ~ ~ ~ \displaystyle T(z)=\frac{u+v z}{w+z}$

Linear function

Definition (1) excludes the case of linear function. However, this the linear function can be realized in limit

$(2) ~ ~ ~ \displaystyle A+B z= \lim_{M\rightarrow infty} \frac{M A+ M B}{M+z}$

Inverse function

Keywords

References

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