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15
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How to prove that f(z) is univalent?

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#complex-analysis #complex-numbers
328
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What is the meaning of the derivative of the real and complex part ($\text{Re}'$, $\text{Im}'$)?

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#complex-analysis #complex-numbers #partial-derivative #real-numbers
334
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Proving that complex numbers form a regular pentagon

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#complex-numbers #roots-of-unity
231
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Chapter 2 Section 16 Problem 12 - Mary L Boas.

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#trigonometry #complex-numbers
603
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If $x^3+ax^2=bx+c$ (with $a,b,c>0$) has one positive root and two negative roots, then what can you say about the roots of $x^3+c=ax^2+bx$?

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#algebra-precalculus #polynomials #complex-numbers #roots #cubics
29
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Two identities concerning the sum of exponentials

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#algebra-precalculus #number-theory #complex-numbers
84
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Show that there is a linear rational transformation

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#linear-algebra #complex-analysis #complex-numbers #complex-geometry
37
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Is it true that $\big| f a + f^{\ast} c \big| \gg \big| f b + f^{\ast} d \big|$?

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#inequality #complex-numbers
1k
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Sum of powers of complex numbers equals zero implies the numbers themselves are zero?

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#complex-numbers
93
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Chapter 2 Section 17 Problem 13 - Mary L Boas.

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#calculus #complex-numbers
133
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Chapter 2 Section 17 Problem 15 - Mary L Boas.

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#sequences-and-series #complex-numbers
109
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$e^{i\theta}$ confusion

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#complex-numbers #exponentiation #fake-proofs
620
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(Proof) Doubts on set of Complex numbers being open and closed

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#general-topology #complex-analysis #complex-numbers #fake-proofs
451
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Visualising complex solutions of quadratic polynomial equations

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#polynomials #complex-numbers #graphing-functions
420
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Finding the smallest positive argument given a summation

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#complex-numbers

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