Question

At $z=0$, the function $f(z)=\exp\left(\frac{z}{1-\cos(z)}\right)$ has infinitely many positive and negative powers of $z$.

score 73 · Answer 1 · 2019-05-11 11:38:21

73

Views

At $z=0$, the function $f(z)=\exp\left(\frac{z}{1-\cos(z)}\right)$ has infinitely many positive and negative powers of $z$.

Published on 11 May 2019 - 11:38

score 43 · Answer 2 · 2019-05-12 19:57:21

43

Views

Why replace $ z = 1/\eta$ to identify zeros and poles?

Published on 12 May 2019 - 19:57

score 183 · Answer 3 · 2019-05-14 19:47:40

183

Views

What if the highest order coefficient of a linear ODE is sometimes zero?

Published on 14 May 2019 - 19:47

score 34 · Answer 4 · 2019-05-23 15:24:32

34

Views

Singularity classification of $f(z)={e^{1\over z^2}\over z-1}$

Published on 23 May 2019 - 15:24

score 381 · Answer 5 · 2019-05-24 20:37:11

381

Views

Numerical Integration with Green's Function

Published on 24 May 2019 - 20:37

score 64 · Answer 6 · 2019-05-27 14:36:21

64

Views

Trying to prove nonsingularity of a matrix.

Published on 27 May 2019 - 14:36

score 114 · Answer 7 · 2019-05-28 08:20:26

114

Views

A Vandermonde-type matrix

Published on 28 May 2019 - 8:20

score 336 · Answer 8 · 2019-05-28 20:45:22

336

Views

Derivative of Tr$(\rho\log\rho)$

Published on 28 May 2019 - 20:45

score 112 · Answer 9 · 2026-03-25 07:43:02

112

Views

Singularity of a curve in higher dimensions

Published on 25 Mar 2026 - 7:43

score 207 · Answer 10 · 2026-03-25 01:38:27

207

Views

Milnor Number of real and imaginary parts of holomorphic germs?

Published on 25 Mar 2026 - 1:38

score 58 · Answer 11 · 2019-06-01 07:26:32

58

Views

Find the poles of $f$ at $z=2πik$?

Published on 01 Jun 2019 - 7:26

score 123 · Answer 12 · 2019-06-02 09:16:18

123

Views

Projective variety $V_p(x^2 y - z^3)$ is singular

Published on 02 Jun 2019 - 9:16

score 42 · Answer 13 · 2019-06-04 16:09:14

42

Views

Singular points of equation

Published on 04 Jun 2019 - 16:09

score 94 · Answer 14 · 2019-06-04 18:53:37

94

Views

Analytical function with boundary condition has a removable singularity

Published on 04 Jun 2019 - 18:53

score 105 · Answer 15 · 2019-06-05 10:22:46

105

Views

If $f$ is holomorphic in $\{|z|<1\}$ \ $\{0\}$ and doesn't get values in $(-\infty ,0]$ then $0$ is a removable singular point

Published on 05 Jun 2019 - 10:22

List Question

At $z=0$, the function $f(z)=\exp\left(\frac{z}{1-\cos(z)}\right)$ has infinitely many positive and negative powers of $z$.

Why replace $ z = 1/\eta$ to identify zeros and poles?

What if the highest order coefficient of a linear ODE is sometimes zero?

Singularity classification of $f(z)={e^{1\over z^2}\over z-1}$

Numerical Integration with Green's Function

Trying to prove nonsingularity of a matrix.

A Vandermonde-type matrix

Derivative of Tr$(\rho\log\rho)$

Singularity of a curve in higher dimensions

Milnor Number of real and imaginary parts of holomorphic germs?

Find the poles of $f$ at $z=2πik$?

Projective variety $V_p(x^2 y - z^3)$ is singular

Singular points of equation

Analytical function with boundary condition has a removable singularity

If $f$ is holomorphic in $\{|z|<1\}$ \ $\{0\}$ and doesn't get values in $(-\infty ,0]$ then $0$ is a removable singular point

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