Question

Analytically continuing a function of two complex variables.

score 39 · Answer 1 · 2024-02-13 13:19:44

39

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Analytically continuing a function of two complex variables.

Published on 13 Feb 2024 - 13:19

score 41 · Answer 2 · 2024-02-18 10:11:44

41

Views

How to test if a certain differential equation has an analytic solution (solution has Taylor expansion)?

Published on 18 Feb 2024 - 10:11

score 66 · Answer 3 · 2024-02-27 13:54:25

66

Views

Smooth Riemannian metric is locally real analytic?

Published on 27 Feb 2024 - 13:54

score 25 · Answer 4 · 2026-03-26 06:34:22

25

Views

Spatial analyticity for solutions of linear parabolic PDEs

Published on 26 Mar 2026 - 6:34

score 55 · Answer 5 · 2024-02-28 12:44:05

55

Views

Why is a polynomial in $z,\bar z$ analytic iff it does not involve monomials $z^i\bar z^j$ with $j\ge1$?

Published on 28 Feb 2024 - 12:44

score 53 · Answer 6 · 2024-03-15 02:25:51

53

Views

Analytic Solution to: $ n_t = C_1(n_x^2 + nn_{xx}) \text{ where }n(-L,t)=n(L,t)=0 \text{ and }n(x,0)=e^{-x^2} $

Published on 15 Mar 2024 - 2:25

score 60 · Answer 7 · 2015-01-03 18:41:40

60

Views

Existence of such function

Published on 03 Jan 2015 - 18:41

score 39 · Answer 8 · 2015-01-04 15:43:19

39

Views

Determining if a function is real anaytic at the point $a$?

Published on 04 Jan 2015 - 15:43

score 45 · Answer 9 · 2026-03-25 20:35:18

45

Views

What are conditions for an infinite sum with a complex parameter not to be analyitically extendable?

Published on 25 Mar 2026 - 20:35

score 220 · Answer 10 · 2015-01-20 18:46:05

220

Views

Holomorphic function is zero on an analytic set then $df=0$.

Published on 20 Jan 2015 - 18:46

score 161 · Answer 11 · 2015-01-23 09:27:22

161

Views

Real analytic function with radius of convergence 1 at non-negative integers

Published on 23 Jan 2015 - 9:27

score 1.5k · Answer 12 · 2015-01-24 16:27:17

1.5k

Views

If all the roots of a polynomial P(z) have negative real parts, prove that all the roots of P'(z) also have negative real parts

Published on 24 Jan 2015 - 16:27

score 1k · Answer 13 · 2015-01-27 01:08:17

1k

Views

A uniformly convergent sequence of real analytic functions which does not converge to a real analytic function

Published on 27 Jan 2015 - 1:08

score 54 · Answer 14 · 2015-02-04 01:20:25

54

Views

Finding all the analyitical function in the unit annulus that satisfy a given condition for natural numbers

Published on 04 Feb 2015 - 1:20

score 1.2k · Answer 15 · 2015-02-06 16:22:12

1.2k

Views

Why is $1/z$ analytic at infinity?

Published on 06 Feb 2015 - 16:22

List Question

Analytically continuing a function of two complex variables.

How to test if a certain differential equation has an analytic solution (solution has Taylor expansion)?

Smooth Riemannian metric is locally real analytic?

Spatial analyticity for solutions of linear parabolic PDEs

Why is a polynomial in $z,\bar z$ analytic iff it does not involve monomials $z^i\bar z^j$ with $j\ge1$?

Analytic Solution to: $ n_t = C_1(n_x^2 + nn_{xx}) \text{ where }n(-L,t)=n(L,t)=0 \text{ and }n(x,0)=e^{-x^2} $

Existence of such function

Determining if a function is real anaytic at the point $a$?

What are conditions for an infinite sum with a complex parameter not to be analyitically extendable?

Holomorphic function is zero on an analytic set then $df=0$.

Real analytic function with radius of convergence 1 at non-negative integers

If all the roots of a polynomial P(z) have negative real parts, prove that all the roots of P'(z) also have negative real parts

A uniformly convergent sequence of real analytic functions which does not converge to a real analytic function

Finding all the analyitical function in the unit annulus that satisfy a given condition for natural numbers

Why is $1/z$ analytic at infinity?

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