Question

On $\int \sqrt[x]x$dx. Solution found for $eW\left(\frac1e\right)\le x\le e$.

score 233 · Answer 1 · 2021-06-25 02:15:37

233

Views

On $\int \sqrt[x]x$dx. Solution found for $eW\left(\frac1e\right)\le x\le e$.

Published on 25 Jun 2021 - 2:15

score 106 · Answer 2 · 2021-07-02 16:39:54

106

Views

Analytic continuation of $g(\sqrt{1-x^2})$ where $g$ is entire

Published on 02 Jul 2021 - 16:39

score 169 · Answer 3 · 2021-07-16 22:26:23

169

Views

On the integral $\int\limits_{0}^{\infty}x^{s-1}\left(\frac{e^{(1-a)x}}{e^{x}-1}-\frac{1}{x}\right)\,dx$

Published on 16 Jul 2021 - 22:26

score 442 · Answer 4 · 2021-07-18 12:54:11

442

Views

Possible paths of analytic continuation

Published on 18 Jul 2021 - 12:54

score 217 · Answer 5 · 2021-07-25 16:32:59

217

Views

Is an irreducible algebraic curve over $\mathbb{C}$ uniquely determined by a local parametrization?

Published on 25 Jul 2021 - 16:32

score 158 · Answer 6 · 2021-07-26 23:22:34

158

Views

If $f:\mathbb{C}\backslash S^1\rightarrow \mathbb{C}$ is holomorphic then $f$ is entire

Published on 26 Jul 2021 - 23:22

score 167 · Answer 7 · 2021-07-27 08:53:46

167

Views

Using Morera to show $f$ is entire

Published on 27 Jul 2021 - 8:53

score 63 · Answer 8 · 2026-03-26 00:52:56

63

Views

Extending analytically $\sum_{n=1}^\infty \frac{1}{e^{1/z}+e^n}$ in $0$.

Published on 26 Mar 2026 - 0:52

score 67 · Answer 9 · 2021-07-28 17:42:14

67

Views

Analytically extending a function from a sector to a whole disk

Published on 28 Jul 2021 - 17:42

score 77 · Answer 10 · 2021-07-30 17:41:41

77

Views

holomorphic extension of real valued function with bounded derivatives on [0,1]

Published on 30 Jul 2021 - 17:41

score 101 · Answer 11 · 2021-08-03 12:09:19

101

Views

Does the shape of the domains matter when doing analytic continuation along a path? Textbooks don't agree

Published on 03 Aug 2021 - 12:09

score 183 · Answer 12 · 2021-08-04 00:46:35

183

Views

2F1 hypergeometric function analytic continuation

Published on 04 Aug 2021 - 0:46

score 881 · Answer 13 · 2026-03-26 20:41:10

881

Views

Relationship between Chebyshev polynomials and square roots ($\sqrt{3}+\sqrt{2}=\frac{1}{\sqrt{T_1(5)-\sqrt{T_1(5)^2-1}}}$ etc.)

Published on 26 Mar 2026 - 20:41

score 123 · Answer 14 · 2021-08-04 13:09:06

123

Views

Question on the definition of analytic continuation along a path

Published on 04 Aug 2021 - 13:09

score 109 · Answer 15 · 2021-08-05 22:03:45

109

Views

Let $ f: (a, b) \to\mathbb R $ a function of class $ C^{\infty} $ that satisfies the following condition: given $ K \subset (a, b) $ compact...

Published on 05 Aug 2021 - 22:03

List Question

On $\int \sqrt[x]x$dx. Solution found for $eW\left(\frac1e\right)\le x\le e$.

Analytic continuation of $g(\sqrt{1-x^2})$ where $g$ is entire

On the integral $\int\limits_{0}^{\infty}x^{s-1}\left(\frac{e^{(1-a)x}}{e^{x}-1}-\frac{1}{x}\right)\,dx$

Possible paths of analytic continuation

Is an irreducible algebraic curve over $\mathbb{C}$ uniquely determined by a local parametrization?

If $f:\mathbb{C}\backslash S^1\rightarrow \mathbb{C}$ is holomorphic then $f$ is entire

Using Morera to show $f$ is entire

Extending analytically $\sum_{n=1}^\infty \frac{1}{e^{1/z}+e^n}$ in $0$.

Analytically extending a function from a sector to a whole disk

holomorphic extension of real valued function with bounded derivatives on [0,1]

Does the shape of the domains matter when doing analytic continuation along a path? Textbooks don't agree

2F1 hypergeometric function analytic continuation

Relationship between Chebyshev polynomials and square roots ($\sqrt{3}+\sqrt{2}=\frac{1}{\sqrt{T_1(5)-\sqrt{T_1(5)^2-1}}}$ etc.)

Question on the definition of analytic continuation along a path

Let $ f: (a, b) \to\mathbb R $ a function of class $ C^{\infty} $ that satisfies the following condition: given $ K \subset (a, b) $ compact...

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