Question
Find the constant c such that can be extended to be analytic at
, when
is fixed.
Answer :
Word Count : 124
Consider ( f(z)=\dfrac{1}{z^{n}+z^{,n-1}+\cdots+z-n}+\dfrac{c}{z-1} ). Let ( g(z)=z^{n}+z^{,n-1}+\cdots+z=\sum_{k=1}^{n} z^{k} ), so the denominator of the first term is ( g(z)-n ). ________ ________ ______ _____ ________ _____ ____ ___.
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Consider ( f(z)=\dfrac{1}{z^{n}+z^{,n-1}+\cdots+z-n}+\dfrac{c}{z-1} ). Let ( g(z)=z^{n}+z^{,n-1}+\cdots+z=\sum_{k=1}^{n} z^{k} ), so the denominator of the first term is ( g(z)-n ). ________ ________ ______ _____ ________ _____ ____ ___.
_______ _______ ___ __________ ____ __________ ______ ______ ________ _________ _______.
________ _____ _______ _______ ________ _________ ___ ________ __________ ______.
__________ _________ ______ __________ _____ ________ _________ ____.
_________ __________ ________ ________ _______ ____ _________ ______ ________ _______ _________ ____.
___ _______ ______ ________ ____ ______ ______ __________ ______ ________ __________ ______.
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Related Questions
Evaluate where c is the circle
.
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.
Evaluate the following integrals
a) .
b) .
Evaluate the following integrals:
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ii)
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.
Find the points where the function is not analytic.
Evaluate , where c is the eight like figure shown in Fig. 1.
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