Question

Problem regarding zeros and poles of a meromorphic function inside a circle (Argument Principle)

score 947 · Answer 1 · 2026-04-09 21:35:11

947

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Problem regarding zeros and poles of a meromorphic function inside a circle (Argument Principle)

Published on 09 Apr 2026 - 21:35

score 67 · Answer 2 · 2026-04-15 13:27:19

67

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If $\lim_{z\to 0} f(1/z) \in \mathbb{C}$ then $\oint_{| z|=R} \frac{f'}{f}\;dz =0$

Published on 15 Apr 2026 - 13:27

score 111 · Answer 3 · 2026-04-16 07:37:37

111

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Two-periodic nonconstant meromorphic function have two different poles or one pole of order $\ge 2$ in the unit square

Published on 16 Apr 2026 - 7:37

score 251 · Answer 4 · 2026-05-10 14:02:29

251

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Meromorphic function at a point.

Published on 10 May 2026 - 14:02

score 29 · Answer 5 · 2026-04-14 19:33:46

29

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Continuation of $ z^{\frac{1}{q}}$ at infinity.

Published on 14 Apr 2026 - 19:33

score 795 · Answer 6 · 2026-04-13 19:37:19

795

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Show that a meromorphic function on a compact Riemann surface can have a simple pole anywhere.

Published on 13 Apr 2026 - 19:37

score 106 · Answer 7 · 2026-04-13 20:30:24

106

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Series representation and isolated singularity

Published on 13 Apr 2026 - 20:30

score 94 · Answer 8 · 2026-04-11 12:35:25

94

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When can a complex function have non isolated singularities?

Published on 11 Apr 2026 - 12:35

score 256 · Answer 9 · 2026-04-11 09:09:45

256

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What is the polynomial approximation for Riemann zeta function in the strip since it is holomorphic?

Published on 11 Apr 2026 - 9:09

score 42 · Answer 10 · 2026-04-10 21:16:30

42

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How to detect pole of meromorphic function using only a line?

Published on 10 Apr 2026 - 21:16

score 284 · Answer 11 · 2026-04-15 14:52:51

284

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Find meromorphic function with two sets of simple poles

Published on 15 Apr 2026 - 14:52

score 310 · Answer 12 · 2026-04-11 22:36:57

310

Views

Relationship between order of a pole and decay rate of a taylor series?

Published on 11 Apr 2026 - 22:36

score 278 · Answer 13 · 2026-04-13 10:22:20

278

Views

Power Series Coefficients and Poles

Published on 13 Apr 2026 - 10:22

score 73 · Answer 14 · 2026-05-05 01:45:09

73

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Show that $f(z)$ is meromorphic on $\mathbb{C}\setminus(-\infty,-1]$ and prove that $z=0$ is a simple pole

Published on 05 May 2026 - 1:45

score 112 · Answer 15 · 2026-04-22 02:40:02

112

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Pole expansions with second-order poles

Published on 22 Apr 2026 - 2:40

List Question

Problem regarding zeros and poles of a meromorphic function inside a circle (Argument Principle)

If $\lim_{z\to 0} f(1/z) \in \mathbb{C}$ then $\oint_{| z|=R} \frac{f'}{f}\;dz =0$

Two-periodic nonconstant meromorphic function have two different poles or one pole of order $\ge 2$ in the unit square

Meromorphic function at a point.

Continuation of $ z^{\frac{1}{q}}$ at infinity.

Show that a meromorphic function on a compact Riemann surface can have a simple pole anywhere.

Series representation and isolated singularity

When can a complex function have non isolated singularities?

What is the polynomial approximation for Riemann zeta function in the strip since it is holomorphic?

How to detect pole of meromorphic function using only a line?

Find meromorphic function with two sets of simple poles

Relationship between order of a pole and decay rate of a taylor series?

Power Series Coefficients and Poles

Show that $f(z)$ is meromorphic on $\mathbb{C}\setminus(-\infty,-1]$ and prove that $z=0$ is a simple pole

Pole expansions with second-order poles

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