Question

Computing Complex Integral to Determine Analytic Continuation of $f(z) = \int_0^\infty {{e^{-zt}} \over {1 + t^2}} dt$

score 1.1k · Answer 1 · 2015-02-09 18:56:34

1.1k

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Computing Complex Integral to Determine Analytic Continuation of $f(z) = \int_0^\infty {{e^{-zt}} \over {1 + t^2}} dt$

Published on 09 Feb 2015 - 18:56

score 882 · Answer 2 · 2015-02-11 01:38:06

882

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Are the coefficients of power series expansion for a real analytic function bounded?

Published on 11 Feb 2015 - 1:38

score 867 · Answer 3 · 2015-02-11 10:48:06

867

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If $f$ is analytic, prove that $\overline{f(\overline{z})}$ is also analytic

Published on 11 Feb 2015 - 10:48

score 292 · Answer 4 · 2015-02-11 14:24:20

292

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Prove that $f$ analytic, $f(x) \in \mathbb{R}$ for all $x \in \mathbb{R}$ implies $f(\overline{z})=\overline{f(z)}$

Published on 11 Feb 2015 - 14:24

score 110 · Answer 5 · 2015-02-13 15:33:31

110

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The radius of convergence of a power series about a point interior to the domain of an analytic function

Published on 13 Feb 2015 - 15:33

score 40 · Answer 6 · 2015-02-16 11:25:57

40

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Is definite integral of such function multiplication analytic?

Published on 16 Feb 2015 - 11:25

score 484 · Answer 7 · 2015-02-16 12:15:58

484

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Is the determinant an analytic function?

Published on 16 Feb 2015 - 12:15

score 301 · Answer 8 · 2015-02-21 08:37:21

301

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Does analytic continuation apply only to analytic functions?

Published on 21 Feb 2015 - 8:37

score 1.8k · Answer 9 · 2015-02-21 16:25:33

1.8k

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Example of an analytic continuation for a function in integral form

Published on 21 Feb 2015 - 16:25

score 65 · Answer 10 · 2015-02-23 13:45:32

65

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Can a meromorphic function which does not have any poles in a domain be shown to be bounded in that domain?

Published on 23 Feb 2015 - 13:45

score 586 · Answer 11 · 2015-02-23 14:27:03

586

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An Elliptic function can not be holomorphic/analytic?

Published on 23 Feb 2015 - 14:27

score 122 · Answer 12 · 2015-02-25 00:48:54

122

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Show that the function $f(z)$ is analytic

Published on 25 Feb 2015 - 0:48

score 109 · Answer 13 · 2015-03-12 19:46:01

109

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Complex Analysis. Analytic functions

Published on 12 Mar 2015 - 19:46

score 95 · Answer 14 · 2015-03-14 00:17:25

95

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What are some general strategies to build measure preserving real-analytic diffeomorphisms?

Published on 14 Mar 2015 - 0:17

score 151 · Answer 15 · 2015-03-19 17:17:50

151

Views

Prove that an entire complex-valued $f$ is constant.

Published on 19 Mar 2015 - 17:17

List Question

Computing Complex Integral to Determine Analytic Continuation of $f(z) = \int_0^\infty {{e^{-zt}} \over {1 + t^2}} dt$

Are the coefficients of power series expansion for a real analytic function bounded?

If $f$ is analytic, prove that $\overline{f(\overline{z})}$ is also analytic

Prove that $f$ analytic, $f(x) \in \mathbb{R}$ for all $x \in \mathbb{R}$ implies $f(\overline{z})=\overline{f(z)}$

The radius of convergence of a power series about a point interior to the domain of an analytic function

Is definite integral of such function multiplication analytic?

Is the determinant an analytic function?

Does analytic continuation apply only to analytic functions?

Example of an analytic continuation for a function in integral form

Can a meromorphic function which does not have any poles in a domain be shown to be bounded in that domain?

An Elliptic function can not be holomorphic/analytic?

Show that the function $f(z)$ is analytic

Complex Analysis. Analytic functions

What are some general strategies to build measure preserving real-analytic diffeomorphisms?

Prove that an entire complex-valued $f$ is constant.

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