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D_Tr
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We know that the derivative of the general Schwartz - Christoffel map (function) is:
[tex]f'(z) = λ(z - x_1)^{a_1}...(z-x_n)^{a_n}[/tex]
Question: In various sources around the web, it is mentioned that [itex]x_n[/itex] can be taken to be the "point at infinity", and the last factor can be removed from the above derivative expression. Why is this helpful? What is the difference between taking a [itex]x_n[/itex] to infinity and just having n-1 points? And why can the last factor be removed in the first place if a term inside it becomes infinitely large??
Your help will be greatly appreciated!
[tex]f'(z) = λ(z - x_1)^{a_1}...(z-x_n)^{a_n}[/tex]
Question: In various sources around the web, it is mentioned that [itex]x_n[/itex] can be taken to be the "point at infinity", and the last factor can be removed from the above derivative expression. Why is this helpful? What is the difference between taking a [itex]x_n[/itex] to infinity and just having n-1 points? And why can the last factor be removed in the first place if a term inside it becomes infinitely large??
Your help will be greatly appreciated!
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