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15
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Precalculus method to prove $ab^*+cd^*=0$

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#algebra-precalculus #complex-numbers #systems-of-equations #alternative-proof
20
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Find real and imaginary parts of $(2 - u_1)(2 - u_2)...(2 - u_n)$ where $u_i$ are complex roots of 1

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#complex-numbers #roots
45
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${z_n}$ is a geometric sequence, $z_1=1, z_2=a+bi, z_3=b+ai$, $a$ and $b$ are real numbers, $a>0$. What is the smallest $n$ s.t. $z_1+z_2+...+z_n=0$

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#complex-numbers
144
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Calculating integral $\int_{-\infty}^{\infty}\frac{1}{(1+y^2)^2}dy$ using Residue theorem

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#integration #complex-analysis #complex-numbers #complex-integration #residue-calculus
50
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evaluate using Euler's formula

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#complex-numbers
125
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Summation and factorial.

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#combinatorics #number-theory #analysis #complex-numbers #generating-functions
58
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Is this function C → C injective?

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#functions #complex-numbers
242
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Solution to two non polynomial equation

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#polynomials #complex-numbers
43
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Factorization of $f(z)=(e^z-1)^{12}\sin{z}$

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#complex-analysis #complex-numbers
30
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Finding range of complex valued function

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#complex-analysis #complex-numbers
87
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Find the series representation of the function $f(z)=\frac{\exp {z}}{1-z}$

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#sequences-and-series #complex-numbers
95
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Describing a set of elements in a complex plane

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#complex-analysis #complex-numbers
93
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area of quadrilateral in terms of angle

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#complex-numbers
277
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Inverse functions and complex numbers

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#complex-analysis #complex-numbers #inverse-function
364
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Proving entire function is identically zero

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#complex-analysis #complex-numbers #entire-functions

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