Difference between revisions of "Linear fraction"
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Definition (1) excludes the case of [[linear function]]. However, this the linear function can be realized in limit |
Definition (1) excludes the case of [[linear function]]. However, this the linear function can be realized in limit |
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| − | $(2) ~ ~ ~ \displaystyle A+B z= \lim_{M\rightarrow infty} \frac{M A+ M B}{M+z}$ |
+ | $(2) ~ ~ ~ \displaystyle A+B z= \lim_{M\rightarrow \infty} \frac{M A+ M B}{M+z}$ |
==Inverse function== |
==Inverse function== |
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Revision as of 14:14, 31 August 2013
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
$(2) ~ ~ ~ \displaystyle A+B z= \lim_{M\rightarrow \infty} \frac{M A+ M B}{M+z}$