List questions from analytic-functions

Published on 24 Jul 2020 - 18:58

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Lebesgue Integration and Complex Integration

Published on 25 Jul 2020 - 6:41

183

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Zeroes of a non-zero entire function

Published on 25 Mar 2026 - 7:40

52

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Justify the equation $\sum_{n=0}^{\infty} \frac{(-1)^n}{m+nk} = \int_{0}^1 \frac{t^{m-1}}{1+t^k} dt$, $m > 0$.

Published on 25 Mar 2026 - 23:58

47

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Existence of an analytic function in a unit disc

Published on 29 Jul 2020 - 17:28

449

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Complex analysis analytic functions

Published on 08 Jul 2016 - 14:18

216

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Cauchy riemann and analytic functions

Published on 10 Jul 2016 - 2:46

105

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What's about $\sum_{n=1}^\infty\frac{\mu(n)}{n}f(X^{\frac{1}{n}})$, where $\mu(n)$ is the Möbius function?

Published on 25 Mar 2026 - 22:05

298

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Algebraic or Analytic Proof of a Polynomial Identity

Published on 14 Jul 2016 - 20:36

103

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Smooth functions can not be non-polynomial at one point

Published on 26 Jul 2016 - 15:29

95

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Symmetry in Analytic Continuation of $\sum_{n=0}^{\infty} e^{-x E_n}$

Published on 25 Mar 2026 - 22:03

95

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$F(z)=e^{\int \frac{x+z}{x-z} \log h(x)dx}$ is analytic?

Published on 25 Mar 2026 - 23:52

111

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Example of holomorphic function $f$ such that $\lim_{|\zeta|\rightarrow z}\text{Im}f(\zeta) = arg(z)$

Published on 27 Mar 2026 - 1:47

45

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Prove that $f(z)$ is the same on both domains

Published on 27 Mar 2026 - 3:41

682

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Finding all analytic functions whose real part consists of an unknown function

Published on 02 Aug 2016 - 22:20

List Question

Find all functions $f$ that satisfy the following

Lebesgue Integration and Complex Integration

Zeroes of a non-zero entire function

Justify the equation $\sum_{n=0}^{\infty} \frac{(-1)^n}{m+nk} = \int_{0}^1 \frac{t^{m-1}}{1+t^k} dt$, $m > 0$.

Existence of an analytic function in a unit disc

Complex analysis analytic functions

Cauchy riemann and analytic functions

What's about $\sum_{n=1}^\infty\frac{\mu(n)}{n}f(X^{\frac{1}{n}})$, where $\mu(n)$ is the Möbius function?

Algebraic or Analytic Proof of a Polynomial Identity

Smooth functions can not be non-polynomial at one point

Symmetry in Analytic Continuation of $\sum_{n=0}^{\infty} e^{-x E_n}$

$F(z)=e^{\int \frac{x+z}{x-z} \log h(x)dx}$ is analytic?

Example of holomorphic function $f$ such that $\lim_{|\zeta|\rightarrow z}\text{Im}f(\zeta) = arg(z)$

Prove that $f(z)$ is the same on both domains

Finding all analytic functions whose real part consists of an unknown function

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